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Finding the Third Proportional to 456,681.75 and 1,032,907.50

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Solution

The third proportional to 456,681.75 and 1,032,907.50 is: 2,336,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,681.75 : 1,032,907.50 = 1,032,907.50 : x
  2. Step 2: Convert to fraction form
    456,681.75/1,032,907.50 = 1,032,907.50/x
  3. Step 3: Cross multiply
    456,681.75x = 1,032,907.50 × 1,032,907.50
  4. Step 4: Simplify right side
    456,681.75x = 1,066,897,903,556.25
  5. Step 5: Solve for x
    x = 1,066,897,903,556.25/456,681.75
  6. Step 6: Final answer
    x = 2,336,195.62

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.