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Finding the Third Proportional to 297,946.69 and 651,215.53

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Solution

The third proportional to 297,946.69 and 651,215.53 is: 1,423,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,946.69 : 651,215.53 = 651,215.53 : x
  2. Step 2: Convert to fraction form
    297,946.69/651,215.53 = 651,215.53/x
  3. Step 3: Cross multiply
    297,946.69x = 651,215.53 × 651,215.53
  4. Step 4: Simplify right side
    297,946.69x = 424,081,668,141.22
  5. Step 5: Solve for x
    x = 424,081,668,141.22/297,946.69
  6. Step 6: Final answer
    x = 1,423,347.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.