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Finding the Third Proportional to 482,748 and 675,232.50

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Solution

The third proportional to 482,748 and 675,232.50 is: 944,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,748 : 675,232.50 = 675,232.50 : x
  2. Step 2: Convert to fraction form
    482,748/675,232.50 = 675,232.50/x
  3. Step 3: Cross multiply
    482,748x = 675,232.50 × 675,232.50
  4. Step 4: Simplify right side
    482,748x = 455,938,929,056.25
  5. Step 5: Solve for x
    x = 455,938,929,056.25/482,748
  6. Step 6: Final answer
    x = 944,465.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.