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Finding the Third Proportional to 469,861 and 715,807.50

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Solution

The third proportional to 469,861 and 715,807.50 is: 1,090,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,861 : 715,807.50 = 715,807.50 : x
  2. Step 2: Convert to fraction form
    469,861/715,807.50 = 715,807.50/x
  3. Step 3: Cross multiply
    469,861x = 715,807.50 × 715,807.50
  4. Step 4: Simplify right side
    469,861x = 512,380,377,056.25
  5. Step 5: Solve for x
    x = 512,380,377,056.25/469,861
  6. Step 6: Final answer
    x = 1,090,493.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.