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Finding the Third Proportional to 482,681 and 723,090

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Solution

The third proportional to 482,681 and 723,090 is: 1,083,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,681 : 723,090 = 723,090 : x
  2. Step 2: Convert to fraction form
    482,681/723,090 = 723,090/x
  3. Step 3: Cross multiply
    482,681x = 723,090 × 723,090
  4. Step 4: Simplify right side
    482,681x = 522,859,148,100
  5. Step 5: Solve for x
    x = 522,859,148,100/482,681
  6. Step 6: Final answer
    x = 1,083,239.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.