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Finding the Third Proportional to 413,956 and 607,300

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Solution

The third proportional to 413,956 and 607,300 is: 890,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,956 : 607,300 = 607,300 : x
  2. Step 2: Convert to fraction form
    413,956/607,300 = 607,300/x
  3. Step 3: Cross multiply
    413,956x = 607,300 × 607,300
  4. Step 4: Simplify right side
    413,956x = 368,813,290,000
  5. Step 5: Solve for x
    x = 368,813,290,000/413,956
  6. Step 6: Final answer
    x = 890,948.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.