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Finding the Third Proportional to 581,350.50 and 849,021.75

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Solution

The third proportional to 581,350.50 and 849,021.75 is: 1,239,936.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,350.50 : 849,021.75 = 849,021.75 : x
  2. Step 2: Convert to fraction form
    581,350.50/849,021.75 = 849,021.75/x
  3. Step 3: Cross multiply
    581,350.50x = 849,021.75 × 849,021.75
  4. Step 4: Simplify right side
    581,350.50x = 720,837,931,973.06
  5. Step 5: Solve for x
    x = 720,837,931,973.06/581,350.50
  6. Step 6: Final answer
    x = 1,239,936.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.