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Finding the Third Proportional to 604,514 and 970,705.50

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Solution

The third proportional to 604,514 and 970,705.50 is: 1,558,721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,514 : 970,705.50 = 970,705.50 : x
  2. Step 2: Convert to fraction form
    604,514/970,705.50 = 970,705.50/x
  3. Step 3: Cross multiply
    604,514x = 970,705.50 × 970,705.50
  4. Step 4: Simplify right side
    604,514x = 942,269,167,730.25
  5. Step 5: Solve for x
    x = 942,269,167,730.25/604,514
  6. Step 6: Final answer
    x = 1,558,721.83

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.