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Finding the Third Proportional to 355,987.13 and 535,492.69

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Solution

The third proportional to 355,987.13 and 535,492.69 is: 805,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,987.13 : 535,492.69 = 535,492.69 : x
  2. Step 2: Convert to fraction form
    355,987.13/535,492.69 = 535,492.69/x
  3. Step 3: Cross multiply
    355,987.13x = 535,492.69 × 535,492.69
  4. Step 4: Simplify right side
    355,987.13x = 286,752,418,365.97
  5. Step 5: Solve for x
    x = 286,752,418,365.97/355,987.13
  6. Step 6: Final answer
    x = 805,513.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.