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Finding the Third Proportional to 334,125 and 517,833

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Solution

The third proportional to 334,125 and 517,833 is: 802,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,125 : 517,833 = 517,833 : x
  2. Step 2: Convert to fraction form
    334,125/517,833 = 517,833/x
  3. Step 3: Cross multiply
    334,125x = 517,833 × 517,833
  4. Step 4: Simplify right side
    334,125x = 268,151,015,889
  5. Step 5: Solve for x
    x = 268,151,015,889/334,125
  6. Step 6: Final answer
    x = 802,547.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.