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Finding the Third Proportional to 460,562,769 and 658,610,185.50

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Solution

The third proportional to 460,562,769 and 658,610,185.50 is: 941,820,324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,562,769 : 658,610,185.50 = 658,610,185.50 : x
  2. Step 2: Convert to fraction form
    460,562,769/658,610,185.50 = 658,610,185.50/x
  3. Step 3: Cross multiply
    460,562,769x = 658,610,185.50 × 658,610,185.50
  4. Step 4: Simplify right side
    460,562,769x = 433,767,376,444,344,384
  5. Step 5: Solve for x
    x = 433,767,376,444,344,384/460,562,769
  6. Step 6: Final answer
    x = 941,820,324.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.