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Finding the Third Proportional to 282,196 and 615,804

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Solution

The third proportional to 282,196 and 615,804 is: 1,343,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,196 : 615,804 = 615,804 : x
  2. Step 2: Convert to fraction form
    282,196/615,804 = 615,804/x
  3. Step 3: Cross multiply
    282,196x = 615,804 × 615,804
  4. Step 4: Simplify right side
    282,196x = 379,214,566,416
  5. Step 5: Solve for x
    x = 379,214,566,416/282,196
  6. Step 6: Final answer
    x = 1,343,798.52

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Why These Related Problems?

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