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Finding the Third Proportional to 486,360 and 776,971.13

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Solution

The third proportional to 486,360 and 776,971.13 is: 1,241,228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,360 : 776,971.13 = 776,971.13 : x
  2. Step 2: Convert to fraction form
    486,360/776,971.13 = 776,971.13/x
  3. Step 3: Cross multiply
    486,360x = 776,971.13 × 776,971.13
  4. Step 4: Simplify right side
    486,360x = 603,684,129,083.77
  5. Step 5: Solve for x
    x = 603,684,129,083.77/486,360
  6. Step 6: Final answer
    x = 1,241,228.98

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.