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Finding the Third Proportional to 387,201 and 568,102.50

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Solution

The third proportional to 387,201 and 568,102.50 is: 833,521.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,201 : 568,102.50 = 568,102.50 : x
  2. Step 2: Convert to fraction form
    387,201/568,102.50 = 568,102.50/x
  3. Step 3: Cross multiply
    387,201x = 568,102.50 × 568,102.50
  4. Step 4: Simplify right side
    387,201x = 322,740,450,506.25
  5. Step 5: Solve for x
    x = 322,740,450,506.25/387,201
  6. Step 6: Final answer
    x = 833,521.74

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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.