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Finding the Third Proportional to 672,702 and 999,465

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Solution

The third proportional to 672,702 and 999,465 is: 1,484,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,702 : 999,465 = 999,465 : x
  2. Step 2: Convert to fraction form
    672,702/999,465 = 999,465/x
  3. Step 3: Cross multiply
    672,702x = 999,465 × 999,465
  4. Step 4: Simplify right side
    672,702x = 998,930,286,225
  5. Step 5: Solve for x
    x = 998,930,286,225/672,702
  6. Step 6: Final answer
    x = 1,484,952.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.