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Finding the Third Proportional to 602,294 and 802,959

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Solution

The third proportional to 602,294 and 802,959 is: 1,070,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,294 : 802,959 = 802,959 : x
  2. Step 2: Convert to fraction form
    602,294/802,959 = 802,959/x
  3. Step 3: Cross multiply
    602,294x = 802,959 × 802,959
  4. Step 4: Simplify right side
    602,294x = 644,743,155,681
  5. Step 5: Solve for x
    x = 644,743,155,681/602,294
  6. Step 6: Final answer
    x = 1,070,479.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.