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Finding the Third Proportional to 293,688 and 466,784

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Solution

The third proportional to 293,688 and 466,784 is: 741,900.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,688 : 466,784 = 466,784 : x
  2. Step 2: Convert to fraction form
    293,688/466,784 = 466,784/x
  3. Step 3: Cross multiply
    293,688x = 466,784 × 466,784
  4. Step 4: Simplify right side
    293,688x = 217,887,302,656
  5. Step 5: Solve for x
    x = 217,887,302,656/293,688
  6. Step 6: Final answer
    x = 741,900.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.