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Finding the Third Proportional to 415,091 and 607,833

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Solution

The third proportional to 415,091 and 607,833 is: 890,072.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,091 : 607,833 = 607,833 : x
  2. Step 2: Convert to fraction form
    415,091/607,833 = 607,833/x
  3. Step 3: Cross multiply
    415,091x = 607,833 × 607,833
  4. Step 4: Simplify right side
    415,091x = 369,460,955,889
  5. Step 5: Solve for x
    x = 369,460,955,889/415,091
  6. Step 6: Final answer
    x = 890,072.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.