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Finding the Third Proportional to 370,024 and 808,526

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Solution

The third proportional to 370,024 and 808,526 is: 1,766,680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,024 : 808,526 = 808,526 : x
  2. Step 2: Convert to fraction form
    370,024/808,526 = 808,526/x
  3. Step 3: Cross multiply
    370,024x = 808,526 × 808,526
  4. Step 4: Simplify right side
    370,024x = 653,714,292,676
  5. Step 5: Solve for x
    x = 653,714,292,676/370,024
  6. Step 6: Final answer
    x = 1,766,680.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.