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Finding the Third Proportional to 330,571,428 and 720,664,332

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Solution

The third proportional to 330,571,428 and 720,664,332 is: 1,571,088,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,571,428 : 720,664,332 = 720,664,332 : x
  2. Step 2: Convert to fraction form
    330,571,428/720,664,332 = 720,664,332/x
  3. Step 3: Cross multiply
    330,571,428x = 720,664,332 × 720,664,332
  4. Step 4: Simplify right side
    330,571,428x = 519,357,079,417,006,208
  5. Step 5: Solve for x
    x = 519,357,079,417,006,208/330,571,428
  6. Step 6: Final answer
    x = 1,571,088,834.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.