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Finding the Third Proportional to 304,615.69 and 616,612.50

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Solution

The third proportional to 304,615.69 and 616,612.50 is: 1,248,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,615.69 : 616,612.50 = 616,612.50 : x
  2. Step 2: Convert to fraction form
    304,615.69/616,612.50 = 616,612.50/x
  3. Step 3: Cross multiply
    304,615.69x = 616,612.50 × 616,612.50
  4. Step 4: Simplify right side
    304,615.69x = 380,210,975,156.25
  5. Step 5: Solve for x
    x = 380,210,975,156.25/304,615.69
  6. Step 6: Final answer
    x = 1,248,166.10

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.