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Finding the Third Proportional to 543,024 and 714,079.13

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Solution

The third proportional to 543,024 and 714,079.13 is: 939,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,024 : 714,079.13 = 714,079.13 : x
  2. Step 2: Convert to fraction form
    543,024/714,079.13 = 714,079.13/x
  3. Step 3: Cross multiply
    543,024x = 714,079.13 × 714,079.13
  4. Step 4: Simplify right side
    543,024x = 509,908,996,760.77
  5. Step 5: Solve for x
    x = 509,908,996,760.77/543,024
  6. Step 6: Final answer
    x = 939,017.42

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.