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Finding the Third Proportional to 246,822,330 and 512,776,407

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Solution

The third proportional to 246,822,330 and 512,776,407 is: 1,065,299,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,822,330 : 512,776,407 = 512,776,407 : x
  2. Step 2: Convert to fraction form
    246,822,330/512,776,407 = 512,776,407/x
  3. Step 3: Cross multiply
    246,822,330x = 512,776,407 × 512,776,407
  4. Step 4: Simplify right side
    246,822,330x = 262,939,643,575,829,664
  5. Step 5: Solve for x
    x = 262,939,643,575,829,664/246,822,330
  6. Step 6: Final answer
    x = 1,065,299,252.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.