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Finding the Third Proportional to 333,509,492 and 724,430,754

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Solution

The third proportional to 333,509,492 and 724,430,754 is: 1,573,568,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,509,492 : 724,430,754 = 724,430,754 : x
  2. Step 2: Convert to fraction form
    333,509,492/724,430,754 = 724,430,754/x
  3. Step 3: Cross multiply
    333,509,492x = 724,430,754 × 724,430,754
  4. Step 4: Simplify right side
    333,509,492x = 524,799,917,341,008,512
  5. Step 5: Solve for x
    x = 524,799,917,341,008,512/333,509,492
  6. Step 6: Final answer
    x = 1,573,568,159.02

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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.