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Finding the Third Proportional to 415,939.50 and 851,547

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Solution

The third proportional to 415,939.50 and 851,547 is: 1,743,360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,939.50 : 851,547 = 851,547 : x
  2. Step 2: Convert to fraction form
    415,939.50/851,547 = 851,547/x
  3. Step 3: Cross multiply
    415,939.50x = 851,547 × 851,547
  4. Step 4: Simplify right side
    415,939.50x = 725,132,293,209
  5. Step 5: Solve for x
    x = 725,132,293,209/415,939.50
  6. Step 6: Final answer
    x = 1,743,360.02

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.