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Finding the Third Proportional to 550,569 and 846,522

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Solution

The third proportional to 550,569 and 846,522 is: 1,301,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,569 : 846,522 = 846,522 : x
  2. Step 2: Convert to fraction form
    550,569/846,522 = 846,522/x
  3. Step 3: Cross multiply
    550,569x = 846,522 × 846,522
  4. Step 4: Simplify right side
    550,569x = 716,599,496,484
  5. Step 5: Solve for x
    x = 716,599,496,484/550,569
  6. Step 6: Final answer
    x = 1,301,561.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.