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Finding the Third Proportional to 738,254.25 and 1,055,700

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Solution

The third proportional to 738,254.25 and 1,055,700 is: 1,509,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,254.25 : 1,055,700 = 1,055,700 : x
  2. Step 2: Convert to fraction form
    738,254.25/1,055,700 = 1,055,700/x
  3. Step 3: Cross multiply
    738,254.25x = 1,055,700 × 1,055,700
  4. Step 4: Simplify right side
    738,254.25x = 1,114,502,490,000
  5. Step 5: Solve for x
    x = 1,114,502,490,000/738,254.25
  6. Step 6: Final answer
    x = 1,509,645.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.