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Finding the Third Proportional to 492,946.88 and 779,901.75

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Solution

The third proportional to 492,946.88 and 779,901.75 is: 1,233,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,946.88 : 779,901.75 = 779,901.75 : x
  2. Step 2: Convert to fraction form
    492,946.88/779,901.75 = 779,901.75/x
  3. Step 3: Cross multiply
    492,946.88x = 779,901.75 × 779,901.75
  4. Step 4: Simplify right side
    492,946.88x = 608,246,739,653.06
  5. Step 5: Solve for x
    x = 608,246,739,653.06/492,946.88
  6. Step 6: Final answer
    x = 1,233,899.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.