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Finding the Third Proportional to 558,033 and 785,838

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Solution

The third proportional to 558,033 and 785,838 is: 1,106,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,033 : 785,838 = 785,838 : x
  2. Step 2: Convert to fraction form
    558,033/785,838 = 785,838/x
  3. Step 3: Cross multiply
    558,033x = 785,838 × 785,838
  4. Step 4: Simplify right side
    558,033x = 617,541,362,244
  5. Step 5: Solve for x
    x = 617,541,362,244/558,033
  6. Step 6: Final answer
    x = 1,106,639.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.