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Finding the Third Proportional to 550,569 and 725,574

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Solution

The third proportional to 550,569 and 725,574 is: 956,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,569 : 725,574 = 725,574 : x
  2. Step 2: Convert to fraction form
    550,569/725,574 = 725,574/x
  3. Step 3: Cross multiply
    550,569x = 725,574 × 725,574
  4. Step 4: Simplify right side
    550,569x = 526,457,629,476
  5. Step 5: Solve for x
    x = 526,457,629,476/550,569
  6. Step 6: Final answer
    x = 956,206.45

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.