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Finding the Third Proportional to 370,025 and 808,528

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Solution

The third proportional to 370,025 and 808,528 is: 1,766,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,025 : 808,528 = 808,528 : x
  2. Step 2: Convert to fraction form
    370,025/808,528 = 808,528/x
  3. Step 3: Cross multiply
    370,025x = 808,528 × 808,528
  4. Step 4: Simplify right side
    370,025x = 653,717,526,784
  5. Step 5: Solve for x
    x = 653,717,526,784/370,025
  6. Step 6: Final answer
    x = 1,766,684.76

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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.