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Finding the Third Proportional to 466,688 and 704,304

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Solution

The third proportional to 466,688 and 704,304 is: 1,062,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,688 : 704,304 = 704,304 : x
  2. Step 2: Convert to fraction form
    466,688/704,304 = 704,304/x
  3. Step 3: Cross multiply
    466,688x = 704,304 × 704,304
  4. Step 4: Simplify right side
    466,688x = 496,044,124,416
  5. Step 5: Solve for x
    x = 496,044,124,416/466,688
  6. Step 6: Final answer
    x = 1,062,903.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.