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Finding the Third Proportional to 282,021.75 and 615,492

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Solution

The third proportional to 282,021.75 and 615,492 is: 1,343,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,021.75 : 615,492 = 615,492 : x
  2. Step 2: Convert to fraction form
    282,021.75/615,492 = 615,492/x
  3. Step 3: Cross multiply
    282,021.75x = 615,492 × 615,492
  4. Step 4: Simplify right side
    282,021.75x = 378,830,402,064
  5. Step 5: Solve for x
    x = 378,830,402,064/282,021.75
  6. Step 6: Final answer
    x = 1,343,266.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.