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Finding the Third Proportional to 191,332.13 and 417,633.47

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Solution

The third proportional to 191,332.13 and 417,633.47 is: 911,596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,332.13 : 417,633.47 = 417,633.47 : x
  2. Step 2: Convert to fraction form
    191,332.13/417,633.47 = 417,633.47/x
  3. Step 3: Cross multiply
    191,332.13x = 417,633.47 × 417,633.47
  4. Step 4: Simplify right side
    191,332.13x = 174,417,714,220.16
  5. Step 5: Solve for x
    x = 174,417,714,220.16/191,332.13
  6. Step 6: Final answer
    x = 911,596.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.