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Finding the Third Proportional to 458,122.50 and 713,358

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Solution

The third proportional to 458,122.50 and 713,358 is: 1,110,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,122.50 : 713,358 = 713,358 : x
  2. Step 2: Convert to fraction form
    458,122.50/713,358 = 713,358/x
  3. Step 3: Cross multiply
    458,122.50x = 713,358 × 713,358
  4. Step 4: Simplify right side
    458,122.50x = 508,879,636,164
  5. Step 5: Solve for x
    x = 508,879,636,164/458,122.50
  6. Step 6: Final answer
    x = 1,110,793.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.