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Finding the Third Proportional to 288,430 and 625,532

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Solution

The third proportional to 288,430 and 625,532 is: 1,356,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,430 : 625,532 = 625,532 : x
  2. Step 2: Convert to fraction form
    288,430/625,532 = 625,532/x
  3. Step 3: Cross multiply
    288,430x = 625,532 × 625,532
  4. Step 4: Simplify right side
    288,430x = 391,290,283,024
  5. Step 5: Solve for x
    x = 391,290,283,024/288,430
  6. Step 6: Final answer
    x = 1,356,621.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.