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Finding the Third Proportional to 300,707,964 and 478,490,206.50

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Solution

The third proportional to 300,707,964 and 478,490,206.50 is: 761,379,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,707,964 : 478,490,206.50 = 478,490,206.50 : x
  2. Step 2: Convert to fraction form
    300,707,964/478,490,206.50 = 478,490,206.50/x
  3. Step 3: Cross multiply
    300,707,964x = 478,490,206.50 × 478,490,206.50
  4. Step 4: Simplify right side
    300,707,964x = 228,952,877,716,412,640
  5. Step 5: Solve for x
    x = 228,952,877,716,412,640/300,707,964
  6. Step 6: Final answer
    x = 761,379,494.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.