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Finding the Third Proportional to 738,275.77 and 1,205,526.80

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Solution

The third proportional to 738,275.77 and 1,205,526.80 is: 1,968,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,275.77 : 1,205,526.80 = 1,205,526.80 : x
  2. Step 2: Convert to fraction form
    738,275.77/1,205,526.80 = 1,205,526.80/x
  3. Step 3: Cross multiply
    738,275.77x = 1,205,526.80 × 1,205,526.80
  4. Step 4: Simplify right side
    738,275.77x = 1,453,294,857,983.70
  5. Step 5: Solve for x
    x = 1,453,294,857,983.70/738,275.77
  6. Step 6: Final answer
    x = 1,968,498.66

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.