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Finding the Third Proportional to 570,897 and 803,239

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Solution

The third proportional to 570,897 and 803,239 is: 1,130,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,897 : 803,239 = 803,239 : x
  2. Step 2: Convert to fraction form
    570,897/803,239 = 803,239/x
  3. Step 3: Cross multiply
    570,897x = 803,239 × 803,239
  4. Step 4: Simplify right side
    570,897x = 645,192,891,121
  5. Step 5: Solve for x
    x = 645,192,891,121/570,897
  6. Step 6: Final answer
    x = 1,130,138.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.