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Finding the Third Proportional to 504,688 and 739,368

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Solution

The third proportional to 504,688 and 739,368 is: 1,083,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,688 : 739,368 = 739,368 : x
  2. Step 2: Convert to fraction form
    504,688/739,368 = 739,368/x
  3. Step 3: Cross multiply
    504,688x = 739,368 × 739,368
  4. Step 4: Simplify right side
    504,688x = 546,665,039,424
  5. Step 5: Solve for x
    x = 546,665,039,424/504,688
  6. Step 6: Final answer
    x = 1,083,174.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.