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Finding the Third Proportional to 758,352 and 1,142,334

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Solution

The third proportional to 758,352 and 1,142,334 is: 1,720,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,352 : 1,142,334 = 1,142,334 : x
  2. Step 2: Convert to fraction form
    758,352/1,142,334 = 1,142,334/x
  3. Step 3: Cross multiply
    758,352x = 1,142,334 × 1,142,334
  4. Step 4: Simplify right side
    758,352x = 1,304,926,967,556
  5. Step 5: Solve for x
    x = 1,304,926,967,556/758,352
  6. Step 6: Final answer
    x = 1,720,740.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.