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Finding the Third Proportional to 463,995 and 705,712.50

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Solution

The third proportional to 463,995 and 705,712.50 is: 1,073,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,995 : 705,712.50 = 705,712.50 : x
  2. Step 2: Convert to fraction form
    463,995/705,712.50 = 705,712.50/x
  3. Step 3: Cross multiply
    463,995x = 705,712.50 × 705,712.50
  4. Step 4: Simplify right side
    463,995x = 498,030,132,656.25
  5. Step 5: Solve for x
    x = 498,030,132,656.25/463,995
  6. Step 6: Final answer
    x = 1,073,352.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.