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Finding the Third Proportional to 520,479.13 and 776,386.31

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Solution

The third proportional to 520,479.13 and 776,386.31 is: 1,158,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,479.13 : 776,386.31 = 776,386.31 : x
  2. Step 2: Convert to fraction form
    520,479.13/776,386.31 = 776,386.31/x
  3. Step 3: Cross multiply
    520,479.13x = 776,386.31 × 776,386.31
  4. Step 4: Simplify right side
    520,479.13x = 602,775,706,237.35
  5. Step 5: Solve for x
    x = 602,775,706,237.35/520,479.13
  6. Step 6: Final answer
    x = 1,158,116.97

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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.