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Finding the Third Proportional to 450,145 and 712,801.50

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Solution

The third proportional to 450,145 and 712,801.50 is: 1,128,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,145 : 712,801.50 = 712,801.50 : x
  2. Step 2: Convert to fraction form
    450,145/712,801.50 = 712,801.50/x
  3. Step 3: Cross multiply
    450,145x = 712,801.50 × 712,801.50
  4. Step 4: Simplify right side
    450,145x = 508,085,978,402.25
  5. Step 5: Solve for x
    x = 508,085,978,402.25/450,145
  6. Step 6: Final answer
    x = 1,128,716.25

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.