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Finding the Third Proportional to 358,294 and 772,532

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Solution

The third proportional to 358,294 and 772,532 is: 1,665,687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,294 : 772,532 = 772,532 : x
  2. Step 2: Convert to fraction form
    358,294/772,532 = 772,532/x
  3. Step 3: Cross multiply
    358,294x = 772,532 × 772,532
  4. Step 4: Simplify right side
    358,294x = 596,805,691,024
  5. Step 5: Solve for x
    x = 596,805,691,024/358,294
  6. Step 6: Final answer
    x = 1,665,687.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.