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Finding the Third Proportional to 503,040 and 759,288

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Solution

The third proportional to 503,040 and 759,288 is: 1,146,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,040 : 759,288 = 759,288 : x
  2. Step 2: Convert to fraction form
    503,040/759,288 = 759,288/x
  3. Step 3: Cross multiply
    503,040x = 759,288 × 759,288
  4. Step 4: Simplify right side
    503,040x = 576,518,266,944
  5. Step 5: Solve for x
    x = 576,518,266,944/503,040
  6. Step 6: Final answer
    x = 1,146,068.44

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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.