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Finding the Third Proportional to 243,710 and 534,506

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Solution

The third proportional to 243,710 and 534,506 is: 1,172,281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,710 : 534,506 = 534,506 : x
  2. Step 2: Convert to fraction form
    243,710/534,506 = 534,506/x
  3. Step 3: Cross multiply
    243,710x = 534,506 × 534,506
  4. Step 4: Simplify right side
    243,710x = 285,696,664,036
  5. Step 5: Solve for x
    x = 285,696,664,036/243,710
  6. Step 6: Final answer
    x = 1,172,281.25

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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.