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Finding the Third Proportional to 468,024.75 and 912,721.50

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Solution

The third proportional to 468,024.75 and 912,721.50 is: 1,779,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,024.75 : 912,721.50 = 912,721.50 : x
  2. Step 2: Convert to fraction form
    468,024.75/912,721.50 = 912,721.50/x
  3. Step 3: Cross multiply
    468,024.75x = 912,721.50 × 912,721.50
  4. Step 4: Simplify right side
    468,024.75x = 833,060,536,562.25
  5. Step 5: Solve for x
    x = 833,060,536,562.25/468,024.75
  6. Step 6: Final answer
    x = 1,779,949.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.