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Finding the Third Proportional to 472,959 and 714,348

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Solution

The third proportional to 472,959 and 714,348 is: 1,078,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,959 : 714,348 = 714,348 : x
  2. Step 2: Convert to fraction form
    472,959/714,348 = 714,348/x
  3. Step 3: Cross multiply
    472,959x = 714,348 × 714,348
  4. Step 4: Simplify right side
    472,959x = 510,293,065,104
  5. Step 5: Solve for x
    x = 510,293,065,104/472,959
  6. Step 6: Final answer
    x = 1,078,937.21

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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.