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Finding the Third Proportional to 536,216 and 750,010

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Solution

The third proportional to 536,216 and 750,010 is: 1,049,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,216 : 750,010 = 750,010 : x
  2. Step 2: Convert to fraction form
    536,216/750,010 = 750,010/x
  3. Step 3: Cross multiply
    536,216x = 750,010 × 750,010
  4. Step 4: Simplify right side
    536,216x = 562,515,000,100
  5. Step 5: Solve for x
    x = 562,515,000,100/536,216
  6. Step 6: Final answer
    x = 1,049,045.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.