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Finding the Third Proportional to 495,723.16 and 668,848.01

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Solution

The third proportional to 495,723.16 and 668,848.01 is: 902,434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,723.16 : 668,848.01 = 668,848.01 : x
  2. Step 2: Convert to fraction form
    495,723.16/668,848.01 = 668,848.01/x
  3. Step 3: Cross multiply
    495,723.16x = 668,848.01 × 668,848.01
  4. Step 4: Simplify right side
    495,723.16x = 447,357,657,554.75
  5. Step 5: Solve for x
    x = 447,357,657,554.75/495,723.16
  6. Step 6: Final answer
    x = 902,434.44

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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.