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Finding the Third Proportional to 301,436,208 and 652,961,784

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Solution

The third proportional to 301,436,208 and 652,961,784 is: 1,414,425,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,436,208 : 652,961,784 = 652,961,784 : x
  2. Step 2: Convert to fraction form
    301,436,208/652,961,784 = 652,961,784/x
  3. Step 3: Cross multiply
    301,436,208x = 652,961,784 × 652,961,784
  4. Step 4: Simplify right side
    301,436,208x = 426,359,091,364,462,656
  5. Step 5: Solve for x
    x = 426,359,091,364,462,656/301,436,208
  6. Step 6: Final answer
    x = 1,414,425,606.64

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