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Finding the Third Proportional to 310,023 and 664,332

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Solution

The third proportional to 310,023 and 664,332 is: 1,423,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,023 : 664,332 = 664,332 : x
  2. Step 2: Convert to fraction form
    310,023/664,332 = 664,332/x
  3. Step 3: Cross multiply
    310,023x = 664,332 × 664,332
  4. Step 4: Simplify right side
    310,023x = 441,337,006,224
  5. Step 5: Solve for x
    x = 441,337,006,224/310,023
  6. Step 6: Final answer
    x = 1,423,562.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.