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Finding the Third Proportional to 524,607 and 810,106.50

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Solution

The third proportional to 524,607 and 810,106.50 is: 1,250,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,607 : 810,106.50 = 810,106.50 : x
  2. Step 2: Convert to fraction form
    524,607/810,106.50 = 810,106.50/x
  3. Step 3: Cross multiply
    524,607x = 810,106.50 × 810,106.50
  4. Step 4: Simplify right side
    524,607x = 656,272,541,342.25
  5. Step 5: Solve for x
    x = 656,272,541,342.25/524,607
  6. Step 6: Final answer
    x = 1,250,979.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.