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Finding the Third Proportional to 387,861 and 600,223.50

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Solution

The third proportional to 387,861 and 600,223.50 is: 928,859.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,861 : 600,223.50 = 600,223.50 : x
  2. Step 2: Convert to fraction form
    387,861/600,223.50 = 600,223.50/x
  3. Step 3: Cross multiply
    387,861x = 600,223.50 × 600,223.50
  4. Step 4: Simplify right side
    387,861x = 360,268,249,952.25
  5. Step 5: Solve for x
    x = 360,268,249,952.25/387,861
  6. Step 6: Final answer
    x = 928,859.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.