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Finding the Third Proportional to 832,351.50 and 1,248,637.50

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Solution

The third proportional to 832,351.50 and 1,248,637.50 is: 1,873,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,351.50 : 1,248,637.50 = 1,248,637.50 : x
  2. Step 2: Convert to fraction form
    832,351.50/1,248,637.50 = 1,248,637.50/x
  3. Step 3: Cross multiply
    832,351.50x = 1,248,637.50 × 1,248,637.50
  4. Step 4: Simplify right side
    832,351.50x = 1,559,095,606,406.25
  5. Step 5: Solve for x
    x = 1,559,095,606,406.25/832,351.50
  6. Step 6: Final answer
    x = 1,873,121.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.