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Finding the Third Proportional to 300,707,883 and 478,490,328

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Solution

The third proportional to 300,707,883 and 478,490,328 is: 761,380,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,707,883 : 478,490,328 = 478,490,328 : x
  2. Step 2: Convert to fraction form
    300,707,883/478,490,328 = 478,490,328/x
  3. Step 3: Cross multiply
    300,707,883x = 478,490,328 × 478,490,328
  4. Step 4: Simplify right side
    300,707,883x = 228,952,993,989,547,584
  5. Step 5: Solve for x
    x = 228,952,993,989,547,584/300,707,883
  6. Step 6: Final answer
    x = 761,380,086.57

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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.