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Finding the Third Proportional to 503,068 and 747,765

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Solution

The third proportional to 503,068 and 747,765 is: 1,111,484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,068 : 747,765 = 747,765 : x
  2. Step 2: Convert to fraction form
    503,068/747,765 = 747,765/x
  3. Step 3: Cross multiply
    503,068x = 747,765 × 747,765
  4. Step 4: Simplify right side
    503,068x = 559,152,495,225
  5. Step 5: Solve for x
    x = 559,152,495,225/503,068
  6. Step 6: Final answer
    x = 1,111,484.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.