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Finding the Third Proportional to 502,969.50 and 1,173,831.75

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Solution

The third proportional to 502,969.50 and 1,173,831.75 is: 2,739,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,969.50 : 1,173,831.75 = 1,173,831.75 : x
  2. Step 2: Convert to fraction form
    502,969.50/1,173,831.75 = 1,173,831.75/x
  3. Step 3: Cross multiply
    502,969.50x = 1,173,831.75 × 1,173,831.75
  4. Step 4: Simplify right side
    502,969.50x = 1,377,880,977,308.06
  5. Step 5: Solve for x
    x = 1,377,880,977,308.06/502,969.50
  6. Step 6: Final answer
    x = 2,739,492.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.