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Finding the Third Proportional to 333,509,437 and 724,430,646

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Solution

The third proportional to 333,509,437 and 724,430,646 is: 1,573,567,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,509,437 : 724,430,646 = 724,430,646 : x
  2. Step 2: Convert to fraction form
    333,509,437/724,430,646 = 724,430,646/x
  3. Step 3: Cross multiply
    333,509,437x = 724,430,646 × 724,430,646
  4. Step 4: Simplify right side
    333,509,437x = 524,799,760,863,977,344
  5. Step 5: Solve for x
    x = 524,799,760,863,977,344/333,509,437
  6. Step 6: Final answer
    x = 1,573,567,949.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.