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Finding the Third Proportional to 286,510.50 and 591,178.50

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Solution

The third proportional to 286,510.50 and 591,178.50 is: 1,219,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,510.50 : 591,178.50 = 591,178.50 : x
  2. Step 2: Convert to fraction form
    286,510.50/591,178.50 = 591,178.50/x
  3. Step 3: Cross multiply
    286,510.50x = 591,178.50 × 591,178.50
  4. Step 4: Simplify right side
    286,510.50x = 349,492,018,862.25
  5. Step 5: Solve for x
    x = 349,492,018,862.25/286,510.50
  6. Step 6: Final answer
    x = 1,219,822.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.