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Finding the Third Proportional to 462,769 and 715,127

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Solution

The third proportional to 462,769 and 715,127 is: 1,105,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,769 : 715,127 = 715,127 : x
  2. Step 2: Convert to fraction form
    462,769/715,127 = 715,127/x
  3. Step 3: Cross multiply
    462,769x = 715,127 × 715,127
  4. Step 4: Simplify right side
    462,769x = 511,406,626,129
  5. Step 5: Solve for x
    x = 511,406,626,129/462,769
  6. Step 6: Final answer
    x = 1,105,101.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.