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Finding the Third Proportional to 344,116,012.50 and 526,048,808.50

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Solution

The third proportional to 344,116,012.50 and 526,048,808.50 is: 804,168,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,116,012.50 : 526,048,808.50 = 526,048,808.50 : x
  2. Step 2: Convert to fraction form
    344,116,012.50/526,048,808.50 = 526,048,808.50/x
  3. Step 3: Cross multiply
    344,116,012.50x = 526,048,808.50 × 526,048,808.50
  4. Step 4: Simplify right side
    344,116,012.50x = 276,727,348,924,269,664
  5. Step 5: Solve for x
    x = 276,727,348,924,269,664/344,116,012.50
  6. Step 6: Final answer
    x = 804,168,765.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.