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Finding the Third Proportional to 323,831.25 and 506,848.50

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Solution

The third proportional to 323,831.25 and 506,848.50 is: 793,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,831.25 : 506,848.50 = 506,848.50 : x
  2. Step 2: Convert to fraction form
    323,831.25/506,848.50 = 506,848.50/x
  3. Step 3: Cross multiply
    323,831.25x = 506,848.50 × 506,848.50
  4. Step 4: Simplify right side
    323,831.25x = 256,895,401,952.25
  5. Step 5: Solve for x
    x = 256,895,401,952.25/323,831.25
  6. Step 6: Final answer
    x = 793,300.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.