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Finding the Third Proportional to 713,704.50 and 1,050,843.38

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Solution

The third proportional to 713,704.50 and 1,050,843.38 is: 1,547,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,704.50 : 1,050,843.38 = 1,050,843.38 : x
  2. Step 2: Convert to fraction form
    713,704.50/1,050,843.38 = 1,050,843.38/x
  3. Step 3: Cross multiply
    713,704.50x = 1,050,843.38 × 1,050,843.38
  4. Step 4: Simplify right side
    713,704.50x = 1,104,271,798,781.39
  5. Step 5: Solve for x
    x = 1,104,271,798,781.39/713,704.50
  6. Step 6: Final answer
    x = 1,547,239.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.