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Finding the Third Proportional to 345,291.19 and 532,699.03

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Solution

The third proportional to 345,291.19 and 532,699.03 is: 821,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,291.19 : 532,699.03 = 532,699.03 : x
  2. Step 2: Convert to fraction form
    345,291.19/532,699.03 = 532,699.03/x
  3. Step 3: Cross multiply
    345,291.19x = 532,699.03 × 532,699.03
  4. Step 4: Simplify right side
    345,291.19x = 283,768,257,894.69
  5. Step 5: Solve for x
    x = 283,768,257,894.69/345,291.19
  6. Step 6: Final answer
    x = 821,823.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.