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Finding the Third Proportional to 338,598.50 and 705,221

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Solution

The third proportional to 338,598.50 and 705,221 is: 1,468,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,598.50 : 705,221 = 705,221 : x
  2. Step 2: Convert to fraction form
    338,598.50/705,221 = 705,221/x
  3. Step 3: Cross multiply
    338,598.50x = 705,221 × 705,221
  4. Step 4: Simplify right side
    338,598.50x = 497,336,658,841
  5. Step 5: Solve for x
    x = 497,336,658,841/338,598.50
  6. Step 6: Final answer
    x = 1,468,809.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.