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Finding the Third Proportional to 711,324 and 1,264,756.50

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Solution

The third proportional to 711,324 and 1,264,756.50 is: 2,248,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,324 : 1,264,756.50 = 1,264,756.50 : x
  2. Step 2: Convert to fraction form
    711,324/1,264,756.50 = 1,264,756.50/x
  3. Step 3: Cross multiply
    711,324x = 1,264,756.50 × 1,264,756.50
  4. Step 4: Simplify right side
    711,324x = 1,599,609,004,292.25
  5. Step 5: Solve for x
    x = 1,599,609,004,292.25/711,324
  6. Step 6: Final answer
    x = 2,248,776.93

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.