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Finding the Third Proportional to 356,778 and 748,587.38

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Solution

The third proportional to 356,778 and 748,587.38 is: 1,570,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,778 : 748,587.38 = 748,587.38 : x
  2. Step 2: Convert to fraction form
    356,778/748,587.38 = 748,587.38/x
  3. Step 3: Cross multiply
    356,778x = 748,587.38 × 748,587.38
  4. Step 4: Simplify right side
    356,778x = 560,383,058,009.39
  5. Step 5: Solve for x
    x = 560,383,058,009.39/356,778
  6. Step 6: Final answer
    x = 1,570,677.17

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.