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Finding the Third Proportional to 471,780 and 710,262

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Solution

The third proportional to 471,780 and 710,262 is: 1,069,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,780 : 710,262 = 710,262 : x
  2. Step 2: Convert to fraction form
    471,780/710,262 = 710,262/x
  3. Step 3: Cross multiply
    471,780x = 710,262 × 710,262
  4. Step 4: Simplify right side
    471,780x = 504,472,108,644
  5. Step 5: Solve for x
    x = 504,472,108,644/471,780
  6. Step 6: Final answer
    x = 1,069,295.24

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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.