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Finding the Third Proportional to 567,548 and 846,396

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Solution

The third proportional to 567,548 and 846,396 is: 1,262,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,548 : 846,396 = 846,396 : x
  2. Step 2: Convert to fraction form
    567,548/846,396 = 846,396/x
  3. Step 3: Cross multiply
    567,548x = 846,396 × 846,396
  4. Step 4: Simplify right side
    567,548x = 716,386,188,816
  5. Step 5: Solve for x
    x = 716,386,188,816/567,548
  6. Step 6: Final answer
    x = 1,262,247.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.