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Finding the Third Proportional to 576,291 and 845,752.50

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Solution

The third proportional to 576,291 and 845,752.50 is: 1,241,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,291 : 845,752.50 = 845,752.50 : x
  2. Step 2: Convert to fraction form
    576,291/845,752.50 = 845,752.50/x
  3. Step 3: Cross multiply
    576,291x = 845,752.50 × 845,752.50
  4. Step 4: Simplify right side
    576,291x = 715,297,291,256.25
  5. Step 5: Solve for x
    x = 715,297,291,256.25/576,291
  6. Step 6: Final answer
    x = 1,241,208.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.