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Finding the Third Proportional to 522,909 and 736,335

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Solution

The third proportional to 522,909 and 736,335 is: 1,036,871.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,909 : 736,335 = 736,335 : x
  2. Step 2: Convert to fraction form
    522,909/736,335 = 736,335/x
  3. Step 3: Cross multiply
    522,909x = 736,335 × 736,335
  4. Step 4: Simplify right side
    522,909x = 542,189,232,225
  5. Step 5: Solve for x
    x = 542,189,232,225/522,909
  6. Step 6: Final answer
    x = 1,036,871.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.