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Finding the Third Proportional to 371,335.50 and 812,223

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Solution

The third proportional to 371,335.50 and 812,223 is: 1,776,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,335.50 : 812,223 = 812,223 : x
  2. Step 2: Convert to fraction form
    371,335.50/812,223 = 812,223/x
  3. Step 3: Cross multiply
    371,335.50x = 812,223 × 812,223
  4. Step 4: Simplify right side
    371,335.50x = 659,706,201,729
  5. Step 5: Solve for x
    x = 659,706,201,729/371,335.50
  6. Step 6: Final answer
    x = 1,776,577.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.