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Finding the Third Proportional to 228,579,410.50 and 500,828,324

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Solution

The third proportional to 228,579,410.50 and 500,828,324 is: 1,097,338,599.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,579,410.50 : 500,828,324 = 500,828,324 : x
  2. Step 2: Convert to fraction form
    228,579,410.50/500,828,324 = 500,828,324/x
  3. Step 3: Cross multiply
    228,579,410.50x = 500,828,324 × 500,828,324
  4. Step 4: Simplify right side
    228,579,410.50x = 250,829,010,120,648,960
  5. Step 5: Solve for x
    x = 250,829,010,120,648,960/228,579,410.50
  6. Step 6: Final answer
    x = 1,097,338,599.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.