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Finding the Third Proportional to 334,690,490 and 723,159,796

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Solution

The third proportional to 334,690,490 and 723,159,796 is: 1,562,518,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,690,490 : 723,159,796 = 723,159,796 : x
  2. Step 2: Convert to fraction form
    334,690,490/723,159,796 = 723,159,796/x
  3. Step 3: Cross multiply
    334,690,490x = 723,159,796 × 723,159,796
  4. Step 4: Simplify right side
    334,690,490x = 522,960,090,550,761,600
  5. Step 5: Solve for x
    x = 522,960,090,550,761,600/334,690,490
  6. Step 6: Final answer
    x = 1,562,518,524.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.