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Finding the Third Proportional to 357,700 and 738,440

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Solution

The third proportional to 357,700 and 738,440 is: 1,524,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,700 : 738,440 = 738,440 : x
  2. Step 2: Convert to fraction form
    357,700/738,440 = 738,440/x
  3. Step 3: Cross multiply
    357,700x = 738,440 × 738,440
  4. Step 4: Simplify right side
    357,700x = 545,293,633,600
  5. Step 5: Solve for x
    x = 545,293,633,600/357,700
  6. Step 6: Final answer
    x = 1,524,444.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.