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Finding the Third Proportional to 501,846 and 715,396.50

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Solution

The third proportional to 501,846 and 715,396.50 is: 1,019,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,846 : 715,396.50 = 715,396.50 : x
  2. Step 2: Convert to fraction form
    501,846/715,396.50 = 715,396.50/x
  3. Step 3: Cross multiply
    501,846x = 715,396.50 × 715,396.50
  4. Step 4: Simplify right side
    501,846x = 511,792,152,212.25
  5. Step 5: Solve for x
    x = 511,792,152,212.25/501,846
  6. Step 6: Final answer
    x = 1,019,819.13

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.