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Finding the Third Proportional to 370,332 and 554,568

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Solution

The third proportional to 370,332 and 554,568 is: 830,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,332 : 554,568 = 554,568 : x
  2. Step 2: Convert to fraction form
    370,332/554,568 = 554,568/x
  3. Step 3: Cross multiply
    370,332x = 554,568 × 554,568
  4. Step 4: Simplify right side
    370,332x = 307,545,666,624
  5. Step 5: Solve for x
    x = 307,545,666,624/370,332
  6. Step 6: Final answer
    x = 830,459.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.