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Finding the Third Proportional to 514,037,328 and 783,108,504

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Solution

The third proportional to 514,037,328 and 783,108,504 is: 1,193,024,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,037,328 : 783,108,504 = 783,108,504 : x
  2. Step 2: Convert to fraction form
    514,037,328/783,108,504 = 783,108,504/x
  3. Step 3: Cross multiply
    514,037,328x = 783,108,504 × 783,108,504
  4. Step 4: Simplify right side
    514,037,328x = 613,258,929,037,117,952
  5. Step 5: Solve for x
    x = 613,258,929,037,117,952/514,037,328
  6. Step 6: Final answer
    x = 1,193,024,116.41

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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.