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Finding the Third Proportional to 321,926,880 and 697,335,276

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Solution

The third proportional to 321,926,880 and 697,335,276 is: 1,510,518,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,926,880 : 697,335,276 = 697,335,276 : x
  2. Step 2: Convert to fraction form
    321,926,880/697,335,276 = 697,335,276/x
  3. Step 3: Cross multiply
    321,926,880x = 697,335,276 × 697,335,276
  4. Step 4: Simplify right side
    321,926,880x = 486,276,487,153,996,160
  5. Step 5: Solve for x
    x = 486,276,487,153,996,160/321,926,880
  6. Step 6: Final answer
    x = 1,510,518,435.60

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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.