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Finding the Third Proportional to 758,032.50 and 1,658,494.50

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Solution

The third proportional to 758,032.50 and 1,658,494.50 is: 3,628,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,032.50 : 1,658,494.50 = 1,658,494.50 : x
  2. Step 2: Convert to fraction form
    758,032.50/1,658,494.50 = 1,658,494.50/x
  3. Step 3: Cross multiply
    758,032.50x = 1,658,494.50 × 1,658,494.50
  4. Step 4: Simplify right side
    758,032.50x = 2,750,604,006,530.25
  5. Step 5: Solve for x
    x = 2,750,604,006,530.25/758,032.50
  6. Step 6: Final answer
    x = 3,628,609.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.