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Finding the Third Proportional to 495,720.84 and 668,844.84

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Solution

The third proportional to 495,720.84 and 668,844.84 is: 902,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,720.84 : 668,844.84 = 668,844.84 : x
  2. Step 2: Convert to fraction form
    495,720.84/668,844.84 = 668,844.84/x
  3. Step 3: Cross multiply
    495,720.84x = 668,844.84 × 668,844.84
  4. Step 4: Simplify right side
    495,720.84x = 447,353,425,010.96
  5. Step 5: Solve for x
    x = 447,353,425,010.96/495,720.84
  6. Step 6: Final answer
    x = 902,430.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.