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Finding the Third Proportional to 456,050.25 and 715,361.63

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Solution

The third proportional to 456,050.25 and 715,361.63 is: 1,122,118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,050.25 : 715,361.63 = 715,361.63 : x
  2. Step 2: Convert to fraction form
    456,050.25/715,361.63 = 715,361.63/x
  3. Step 3: Cross multiply
    456,050.25x = 715,361.63 × 715,361.63
  4. Step 4: Simplify right side
    456,050.25x = 511,742,254,522.64
  5. Step 5: Solve for x
    x = 511,742,254,522.64/456,050.25
  6. Step 6: Final answer
    x = 1,122,118.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.