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Finding the Third Proportional to 353,132.16 and 772,284.38

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Solution

The third proportional to 353,132.16 and 772,284.38 is: 1,688,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,132.16 : 772,284.38 = 772,284.38 : x
  2. Step 2: Convert to fraction form
    353,132.16/772,284.38 = 772,284.38/x
  3. Step 3: Cross multiply
    353,132.16x = 772,284.38 × 772,284.38
  4. Step 4: Simplify right side
    353,132.16x = 596,423,155,869.14
  5. Step 5: Solve for x
    x = 596,423,155,869.14/353,132.16
  6. Step 6: Final answer
    x = 1,688,951.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.