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Finding the Third Proportional to 303,400,312 and 652,847,756

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Solution

The third proportional to 303,400,312 and 652,847,756 is: 1,404,778,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,400,312 : 652,847,756 = 652,847,756 : x
  2. Step 2: Convert to fraction form
    303,400,312/652,847,756 = 652,847,756/x
  3. Step 3: Cross multiply
    303,400,312x = 652,847,756 × 652,847,756
  4. Step 4: Simplify right side
    303,400,312x = 426,210,192,514,235,520
  5. Step 5: Solve for x
    x = 426,210,192,514,235,520/303,400,312
  6. Step 6: Final answer
    x = 1,404,778,359.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.