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Finding the Third Proportional to 346,730,260.50 and 475,451,430.75

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Solution

The third proportional to 346,730,260.50 and 475,451,430.75 is: 651,959,430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,730,260.50 : 475,451,430.75 = 475,451,430.75 : x
  2. Step 2: Convert to fraction form
    346,730,260.50/475,451,430.75 = 475,451,430.75/x
  3. Step 3: Cross multiply
    346,730,260.50x = 475,451,430.75 × 475,451,430.75
  4. Step 4: Simplify right side
    346,730,260.50x = 226,054,063,002,222,048
  5. Step 5: Solve for x
    x = 226,054,063,002,222,048/346,730,260.50
  6. Step 6: Final answer
    x = 651,959,430.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.