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Finding the Third Proportional to 602,164.13 and 880,639.59

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Solution

The third proportional to 602,164.13 and 880,639.59 is: 1,287,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,164.13 : 880,639.59 = 880,639.59 : x
  2. Step 2: Convert to fraction form
    602,164.13/880,639.59 = 880,639.59/x
  3. Step 3: Cross multiply
    602,164.13x = 880,639.59 × 880,639.59
  4. Step 4: Simplify right side
    602,164.13x = 775,526,094,080.17
  5. Step 5: Solve for x
    x = 775,526,094,080.17/602,164.13
  6. Step 6: Final answer
    x = 1,287,898.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.