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Finding the Third Proportional to 312,038 and 736,354

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Solution

The third proportional to 312,038 and 736,354 is: 1,737,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,038 : 736,354 = 736,354 : x
  2. Step 2: Convert to fraction form
    312,038/736,354 = 736,354/x
  3. Step 3: Cross multiply
    312,038x = 736,354 × 736,354
  4. Step 4: Simplify right side
    312,038x = 542,217,213,316
  5. Step 5: Solve for x
    x = 542,217,213,316/312,038
  6. Step 6: Final answer
    x = 1,737,664.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.