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Finding the Third Proportional to 602,357 and 803,037

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Solution

The third proportional to 602,357 and 803,037 is: 1,070,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,357 : 803,037 = 803,037 : x
  2. Step 2: Convert to fraction form
    602,357/803,037 = 803,037/x
  3. Step 3: Cross multiply
    602,357x = 803,037 × 803,037
  4. Step 4: Simplify right side
    602,357x = 644,868,423,369
  5. Step 5: Solve for x
    x = 644,868,423,369/602,357
  6. Step 6: Final answer
    x = 1,070,575.13

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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.