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Finding the Third Proportional to 312,126 and 736,358

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Solution

The third proportional to 312,126 and 736,358 is: 1,737,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,126 : 736,358 = 736,358 : x
  2. Step 2: Convert to fraction form
    312,126/736,358 = 736,358/x
  3. Step 3: Cross multiply
    312,126x = 736,358 × 736,358
  4. Step 4: Simplify right side
    312,126x = 542,223,104,164
  5. Step 5: Solve for x
    x = 542,223,104,164/312,126
  6. Step 6: Final answer
    x = 1,737,193.01

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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.