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Finding the Third Proportional to 497,572.50 and 749,943

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Solution

The third proportional to 497,572.50 and 749,943 is: 1,130,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,572.50 : 749,943 = 749,943 : x
  2. Step 2: Convert to fraction form
    497,572.50/749,943 = 749,943/x
  3. Step 3: Cross multiply
    497,572.50x = 749,943 × 749,943
  4. Step 4: Simplify right side
    497,572.50x = 562,414,503,249
  5. Step 5: Solve for x
    x = 562,414,503,249/497,572.50
  6. Step 6: Final answer
    x = 1,130,316.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.