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Finding the Third Proportional to 358,415,154 and 779,905,576.50

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Solution

The third proportional to 358,415,154 and 779,905,576.50 is: 1,697,061,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,415,154 : 779,905,576.50 = 779,905,576.50 : x
  2. Step 2: Convert to fraction form
    358,415,154/779,905,576.50 = 779,905,576.50/x
  3. Step 3: Cross multiply
    358,415,154x = 779,905,576.50 × 779,905,576.50
  4. Step 4: Simplify right side
    358,415,154x = 608,252,708,255,797,376
  5. Step 5: Solve for x
    x = 608,252,708,255,797,376/358,415,154
  6. Step 6: Final answer
    x = 1,697,061,916.80

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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.