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Finding the Third Proportional to 377,260 and 808,506

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Solution

The third proportional to 377,260 and 808,506 is: 1,732,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,260 : 808,506 = 808,506 : x
  2. Step 2: Convert to fraction form
    377,260/808,506 = 808,506/x
  3. Step 3: Cross multiply
    377,260x = 808,506 × 808,506
  4. Step 4: Simplify right side
    377,260x = 653,681,952,036
  5. Step 5: Solve for x
    x = 653,681,952,036/377,260
  6. Step 6: Final answer
    x = 1,732,709.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.