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Finding the Third Proportional to 390,410 and 814,708

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Solution

The third proportional to 390,410 and 814,708 is: 1,700,133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,410 : 814,708 = 814,708 : x
  2. Step 2: Convert to fraction form
    390,410/814,708 = 814,708/x
  3. Step 3: Cross multiply
    390,410x = 814,708 × 814,708
  4. Step 4: Simplify right side
    390,410x = 663,749,125,264
  5. Step 5: Solve for x
    x = 663,749,125,264/390,410
  6. Step 6: Final answer
    x = 1,700,133.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.