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Finding the Third Proportional to 370,624 and 808,160

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Solution

The third proportional to 370,624 and 808,160 is: 1,762,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,624 : 808,160 = 808,160 : x
  2. Step 2: Convert to fraction form
    370,624/808,160 = 808,160/x
  3. Step 3: Cross multiply
    370,624x = 808,160 × 808,160
  4. Step 4: Simplify right side
    370,624x = 653,122,585,600
  5. Step 5: Solve for x
    x = 653,122,585,600/370,624
  6. Step 6: Final answer
    x = 1,762,224.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.