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Finding the Third Proportional to 398,116,508.63 and 597,174,815.25

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Solution

The third proportional to 398,116,508.63 and 597,174,815.25 is: 895,762,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,116,508.63 : 597,174,815.25 = 597,174,815.25 : x
  2. Step 2: Convert to fraction form
    398,116,508.63/597,174,815.25 = 597,174,815.25/x
  3. Step 3: Cross multiply
    398,116,508.63x = 597,174,815.25 × 597,174,815.25
  4. Step 4: Simplify right side
    398,116,508.63x = 356,617,759,968,871,616
  5. Step 5: Solve for x
    x = 356,617,759,968,871,616/398,116,508.63
  6. Step 6: Final answer
    x = 895,762,301.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.