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Finding the Third Proportional to 364,053 and 569,842.50

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Solution

The third proportional to 364,053 and 569,842.50 is: 891,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,053 : 569,842.50 = 569,842.50 : x
  2. Step 2: Convert to fraction form
    364,053/569,842.50 = 569,842.50/x
  3. Step 3: Cross multiply
    364,053x = 569,842.50 × 569,842.50
  4. Step 4: Simplify right side
    364,053x = 324,720,474,806.25
  5. Step 5: Solve for x
    x = 324,720,474,806.25/364,053
  6. Step 6: Final answer
    x = 891,959.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.