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Finding the Third Proportional to 282,001.50 and 649,308

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Solution

The third proportional to 282,001.50 and 649,308 is: 1,495,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,001.50 : 649,308 = 649,308 : x
  2. Step 2: Convert to fraction form
    282,001.50/649,308 = 649,308/x
  3. Step 3: Cross multiply
    282,001.50x = 649,308 × 649,308
  4. Step 4: Simplify right side
    282,001.50x = 421,600,878,864
  5. Step 5: Solve for x
    x = 421,600,878,864/282,001.50
  6. Step 6: Final answer
    x = 1,495,030.63

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.