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Finding the Third Proportional to 507,860 and 803,496

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Solution

The third proportional to 507,860 and 803,496 is: 1,271,227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,860 : 803,496 = 803,496 : x
  2. Step 2: Convert to fraction form
    507,860/803,496 = 803,496/x
  3. Step 3: Cross multiply
    507,860x = 803,496 × 803,496
  4. Step 4: Simplify right side
    507,860x = 645,605,822,016
  5. Step 5: Solve for x
    x = 645,605,822,016/507,860
  6. Step 6: Final answer
    x = 1,271,227.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.