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Finding the Third Proportional to 498,225.94 and 730,731.38

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Solution

The third proportional to 498,225.94 and 730,731.38 is: 1,071,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,225.94 : 730,731.38 = 730,731.38 : x
  2. Step 2: Convert to fraction form
    498,225.94/730,731.38 = 730,731.38/x
  3. Step 3: Cross multiply
    498,225.94x = 730,731.38 × 730,731.38
  4. Step 4: Simplify right side
    498,225.94x = 533,968,342,409.39
  5. Step 5: Solve for x
    x = 533,968,342,409.39/498,225.94
  6. Step 6: Final answer
    x = 1,071,739.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.