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Finding the Third Proportional to 344,785.50 and 535,221

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Solution

The third proportional to 344,785.50 and 535,221 is: 830,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,785.50 : 535,221 = 535,221 : x
  2. Step 2: Convert to fraction form
    344,785.50/535,221 = 535,221/x
  3. Step 3: Cross multiply
    344,785.50x = 535,221 × 535,221
  4. Step 4: Simplify right side
    344,785.50x = 286,461,518,841
  5. Step 5: Solve for x
    x = 286,461,518,841/344,785.50
  6. Step 6: Final answer
    x = 830,839.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.