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Finding the Third Proportional to 466,239 and 708,471

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Solution

The third proportional to 466,239 and 708,471 is: 1,076,553.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,239 : 708,471 = 708,471 : x
  2. Step 2: Convert to fraction form
    466,239/708,471 = 708,471/x
  3. Step 3: Cross multiply
    466,239x = 708,471 × 708,471
  4. Step 4: Simplify right side
    466,239x = 501,931,157,841
  5. Step 5: Solve for x
    x = 501,931,157,841/466,239
  6. Step 6: Final answer
    x = 1,076,553.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.