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Finding the Third Proportional to 633,295.13 and 1,292,378.63

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Solution

The third proportional to 633,295.13 and 1,292,378.63 is: 2,637,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,295.13 : 1,292,378.63 = 1,292,378.63 : x
  2. Step 2: Convert to fraction form
    633,295.13/1,292,378.63 = 1,292,378.63/x
  3. Step 3: Cross multiply
    633,295.13x = 1,292,378.63 × 1,292,378.63
  4. Step 4: Simplify right side
    633,295.13x = 1,670,242,510,356.89
  5. Step 5: Solve for x
    x = 1,670,242,510,356.89/633,295.13
  6. Step 6: Final answer
    x = 2,637,384.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.