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Finding the Third Proportional to 296,672,592 and 436,431,633

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Solution

The third proportional to 296,672,592 and 436,431,633 is: 642,029,548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,672,592 : 436,431,633 = 436,431,633 : x
  2. Step 2: Convert to fraction form
    296,672,592/436,431,633 = 436,431,633/x
  3. Step 3: Cross multiply
    296,672,592x = 436,431,633 × 436,431,633
  4. Step 4: Simplify right side
    296,672,592x = 190,472,570,283,046,688
  5. Step 5: Solve for x
    x = 190,472,570,283,046,688/296,672,592
  6. Step 6: Final answer
    x = 642,029,548.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.