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Finding the Third Proportional to 362,278.50 and 794,541

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Solution

The third proportional to 362,278.50 and 794,541 is: 1,742,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,278.50 : 794,541 = 794,541 : x
  2. Step 2: Convert to fraction form
    362,278.50/794,541 = 794,541/x
  3. Step 3: Cross multiply
    362,278.50x = 794,541 × 794,541
  4. Step 4: Simplify right side
    362,278.50x = 631,295,400,681
  5. Step 5: Solve for x
    x = 631,295,400,681/362,278.50
  6. Step 6: Final answer
    x = 1,742,569.32

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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.