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Finding the Third Proportional to 223,506 and 486,432

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Solution

The third proportional to 223,506 and 486,432 is: 1,058,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,506 : 486,432 = 486,432 : x
  2. Step 2: Convert to fraction form
    223,506/486,432 = 486,432/x
  3. Step 3: Cross multiply
    223,506x = 486,432 × 486,432
  4. Step 4: Simplify right side
    223,506x = 236,616,090,624
  5. Step 5: Solve for x
    x = 236,616,090,624/223,506
  6. Step 6: Final answer
    x = 1,058,656.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.