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Finding the Third Proportional to 495,506 and 747,903

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Solution

The third proportional to 495,506 and 747,903 is: 1,128,864.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,506 : 747,903 = 747,903 : x
  2. Step 2: Convert to fraction form
    495,506/747,903 = 747,903/x
  3. Step 3: Cross multiply
    495,506x = 747,903 × 747,903
  4. Step 4: Simplify right side
    495,506x = 559,358,897,409
  5. Step 5: Solve for x
    x = 559,358,897,409/495,506
  6. Step 6: Final answer
    x = 1,128,864.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.