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Finding the Third Proportional to 475,306 and 710,555

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Solution

The third proportional to 475,306 and 710,555 is: 1,062,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,306 : 710,555 = 710,555 : x
  2. Step 2: Convert to fraction form
    475,306/710,555 = 710,555/x
  3. Step 3: Cross multiply
    475,306x = 710,555 × 710,555
  4. Step 4: Simplify right side
    475,306x = 504,888,408,025
  5. Step 5: Solve for x
    x = 504,888,408,025/475,306
  6. Step 6: Final answer
    x = 1,062,238.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.