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Finding the Third Proportional to 543,159 and 798,106.50

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Solution

The third proportional to 543,159 and 798,106.50 is: 1,172,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,159 : 798,106.50 = 798,106.50 : x
  2. Step 2: Convert to fraction form
    543,159/798,106.50 = 798,106.50/x
  3. Step 3: Cross multiply
    543,159x = 798,106.50 × 798,106.50
  4. Step 4: Simplify right side
    543,159x = 636,973,985,342.25
  5. Step 5: Solve for x
    x = 636,973,985,342.25/543,159
  6. Step 6: Final answer
    x = 1,172,721.04

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