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Finding the Third Proportional to 346,855,569 and 498,553,200

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Solution

The third proportional to 346,855,569 and 498,553,200 is: 716,595,942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,855,569 : 498,553,200 = 498,553,200 : x
  2. Step 2: Convert to fraction form
    346,855,569/498,553,200 = 498,553,200/x
  3. Step 3: Cross multiply
    346,855,569x = 498,553,200 × 498,553,200
  4. Step 4: Simplify right side
    346,855,569x = 248,555,293,230,240,000
  5. Step 5: Solve for x
    x = 248,555,293,230,240,000/346,855,569
  6. Step 6: Final answer
    x = 716,595,942.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.