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Finding the Third Proportional to 602,289 and 802,953

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Solution

The third proportional to 602,289 and 802,953 is: 1,070,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,289 : 802,953 = 802,953 : x
  2. Step 2: Convert to fraction form
    602,289/802,953 = 802,953/x
  3. Step 3: Cross multiply
    602,289x = 802,953 × 802,953
  4. Step 4: Simplify right side
    602,289x = 644,733,520,209
  5. Step 5: Solve for x
    x = 644,733,520,209/602,289
  6. Step 6: Final answer
    x = 1,070,472.02

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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.