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Finding the Third Proportional to 370,029 and 808,536

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Solution

The third proportional to 370,029 and 808,536 is: 1,766,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,029 : 808,536 = 808,536 : x
  2. Step 2: Convert to fraction form
    370,029/808,536 = 808,536/x
  3. Step 3: Cross multiply
    370,029x = 808,536 × 808,536
  4. Step 4: Simplify right side
    370,029x = 653,730,463,296
  5. Step 5: Solve for x
    x = 653,730,463,296/370,029
  6. Step 6: Final answer
    x = 1,766,700.62

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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.