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Finding the Third Proportional to 761,464.71 and 1,142,361.51

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Solution

The third proportional to 761,464.71 and 1,142,361.51 is: 1,713,788.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,464.71 : 1,142,361.51 = 1,142,361.51 : x
  2. Step 2: Convert to fraction form
    761,464.71/1,142,361.51 = 1,142,361.51/x
  3. Step 3: Cross multiply
    761,464.71x = 1,142,361.51 × 1,142,361.51
  4. Step 4: Simplify right side
    761,464.71x = 1,304,989,818,993.94
  5. Step 5: Solve for x
    x = 1,304,989,818,993.94/761,464.71
  6. Step 6: Final answer
    x = 1,713,788.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.