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Finding the Third Proportional to 707,931 and 1,121,503.50

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Solution

The third proportional to 707,931 and 1,121,503.50 is: 1,776,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,931 : 1,121,503.50 = 1,121,503.50 : x
  2. Step 2: Convert to fraction form
    707,931/1,121,503.50 = 1,121,503.50/x
  3. Step 3: Cross multiply
    707,931x = 1,121,503.50 × 1,121,503.50
  4. Step 4: Simplify right side
    707,931x = 1,257,770,100,512.25
  5. Step 5: Solve for x
    x = 1,257,770,100,512.25/707,931
  6. Step 6: Final answer
    x = 1,776,684.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.