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Finding the Third Proportional to 243,701 and 534,480

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Solution

The third proportional to 243,701 and 534,480 is: 1,172,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,701 : 534,480 = 534,480 : x
  2. Step 2: Convert to fraction form
    243,701/534,480 = 534,480/x
  3. Step 3: Cross multiply
    243,701x = 534,480 × 534,480
  4. Step 4: Simplify right side
    243,701x = 285,668,870,400
  5. Step 5: Solve for x
    x = 285,668,870,400/243,701
  6. Step 6: Final answer
    x = 1,172,210.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.