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Finding the Third Proportional to 271,011.75 and 572,547

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Solution

The third proportional to 271,011.75 and 572,547 is: 1,209,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,011.75 : 572,547 = 572,547 : x
  2. Step 2: Convert to fraction form
    271,011.75/572,547 = 572,547/x
  3. Step 3: Cross multiply
    271,011.75x = 572,547 × 572,547
  4. Step 4: Simplify right side
    271,011.75x = 327,810,067,209
  5. Step 5: Solve for x
    x = 327,810,067,209/271,011.75
  6. Step 6: Final answer
    x = 1,209,578.80

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.