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Finding the Third Proportional to 338,032 and 717,528

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Solution

The third proportional to 338,032 and 717,528 is: 1,523,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,032 : 717,528 = 717,528 : x
  2. Step 2: Convert to fraction form
    338,032/717,528 = 717,528/x
  3. Step 3: Cross multiply
    338,032x = 717,528 × 717,528
  4. Step 4: Simplify right side
    338,032x = 514,846,430,784
  5. Step 5: Solve for x
    x = 514,846,430,784/338,032
  6. Step 6: Final answer
    x = 1,523,070.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.