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Finding the Third Proportional to 461,102 and 705,645

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Solution

The third proportional to 461,102 and 705,645 is: 1,079,880.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,102 : 705,645 = 705,645 : x
  2. Step 2: Convert to fraction form
    461,102/705,645 = 705,645/x
  3. Step 3: Cross multiply
    461,102x = 705,645 × 705,645
  4. Step 4: Simplify right side
    461,102x = 497,934,866,025
  5. Step 5: Solve for x
    x = 497,934,866,025/461,102
  6. Step 6: Final answer
    x = 1,079,880.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.