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Finding the Third Proportional to 540,553 and 847,963.50

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Solution

The third proportional to 540,553 and 847,963.50 is: 1,330,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,553 : 847,963.50 = 847,963.50 : x
  2. Step 2: Convert to fraction form
    540,553/847,963.50 = 847,963.50/x
  3. Step 3: Cross multiply
    540,553x = 847,963.50 × 847,963.50
  4. Step 4: Simplify right side
    540,553x = 719,042,097,332.25
  5. Step 5: Solve for x
    x = 719,042,097,332.25/540,553
  6. Step 6: Final answer
    x = 1,330,197.22

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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.