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Finding the Third Proportional to 495,011 and 772,082

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Solution

The third proportional to 495,011 and 772,082 is: 1,204,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,011 : 772,082 = 772,082 : x
  2. Step 2: Convert to fraction form
    495,011/772,082 = 772,082/x
  3. Step 3: Cross multiply
    495,011x = 772,082 × 772,082
  4. Step 4: Simplify right side
    495,011x = 596,110,614,724
  5. Step 5: Solve for x
    x = 596,110,614,724/495,011
  6. Step 6: Final answer
    x = 1,204,237.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.