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Finding the Third Proportional to 528,415 and 1,177,851.50

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Solution

The third proportional to 528,415 and 1,177,851.50 is: 2,625,463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,415 : 1,177,851.50 = 1,177,851.50 : x
  2. Step 2: Convert to fraction form
    528,415/1,177,851.50 = 1,177,851.50/x
  3. Step 3: Cross multiply
    528,415x = 1,177,851.50 × 1,177,851.50
  4. Step 4: Simplify right side
    528,415x = 1,387,334,156,052.25
  5. Step 5: Solve for x
    x = 1,387,334,156,052.25/528,415
  6. Step 6: Final answer
    x = 2,625,463.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.