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Finding the Third Proportional to 459,972 and 710,470

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Solution

The third proportional to 459,972 and 710,470 is: 1,097,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,972 : 710,470 = 710,470 : x
  2. Step 2: Convert to fraction form
    459,972/710,470 = 710,470/x
  3. Step 3: Cross multiply
    459,972x = 710,470 × 710,470
  4. Step 4: Simplify right side
    459,972x = 504,767,620,900
  5. Step 5: Solve for x
    x = 504,767,620,900/459,972
  6. Step 6: Final answer
    x = 1,097,387.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.