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Finding the Third Proportional to 321,275.25 and 714,352.50

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Solution

The third proportional to 321,275.25 and 714,352.50 is: 1,588,356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,275.25 : 714,352.50 = 714,352.50 : x
  2. Step 2: Convert to fraction form
    321,275.25/714,352.50 = 714,352.50/x
  3. Step 3: Cross multiply
    321,275.25x = 714,352.50 × 714,352.50
  4. Step 4: Simplify right side
    321,275.25x = 510,299,494,256.25
  5. Step 5: Solve for x
    x = 510,299,494,256.25/321,275.25
  6. Step 6: Final answer
    x = 1,588,356.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.