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Finding the Third Proportional to 449,585 and 696,090

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Solution

The third proportional to 449,585 and 696,090 is: 1,077,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,585 : 696,090 = 696,090 : x
  2. Step 2: Convert to fraction form
    449,585/696,090 = 696,090/x
  3. Step 3: Cross multiply
    449,585x = 696,090 × 696,090
  4. Step 4: Simplify right side
    449,585x = 484,541,288,100
  5. Step 5: Solve for x
    x = 484,541,288,100/449,585
  6. Step 6: Final answer
    x = 1,077,752.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.