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Finding the Third Proportional to 334,333,443 and 506,556,292.50

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Solution

The third proportional to 334,333,443 and 506,556,292.50 is: 767,495,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,333,443 : 506,556,292.50 = 506,556,292.50 : x
  2. Step 2: Convert to fraction form
    334,333,443/506,556,292.50 = 506,556,292.50/x
  3. Step 3: Cross multiply
    334,333,443x = 506,556,292.50 × 506,556,292.50
  4. Step 4: Simplify right side
    334,333,443x = 256,599,277,471,345,568
  5. Step 5: Solve for x
    x = 256,599,277,471,345,568/334,333,443
  6. Step 6: Final answer
    x = 767,495,094.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.