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Finding the Third Proportional to 464,432.06 and 688,035.94

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Solution

The third proportional to 464,432.06 and 688,035.94 is: 1,019,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,432.06 : 688,035.94 = 688,035.94 : x
  2. Step 2: Convert to fraction form
    464,432.06/688,035.94 = 688,035.94/x
  3. Step 3: Cross multiply
    464,432.06x = 688,035.94 × 688,035.94
  4. Step 4: Simplify right side
    464,432.06x = 473,393,451,291.50
  5. Step 5: Solve for x
    x = 473,393,451,291.50/464,432.06
  6. Step 6: Final answer
    x = 1,019,295.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.