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Finding the Third Proportional to 294,184,368 and 474,009,384

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Solution

The third proportional to 294,184,368 and 474,009,384 is: 763,755,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,184,368 : 474,009,384 = 474,009,384 : x
  2. Step 2: Convert to fraction form
    294,184,368/474,009,384 = 474,009,384/x
  3. Step 3: Cross multiply
    294,184,368x = 474,009,384 × 474,009,384
  4. Step 4: Simplify right side
    294,184,368x = 224,684,896,120,059,456
  5. Step 5: Solve for x
    x = 224,684,896,120,059,456/294,184,368
  6. Step 6: Final answer
    x = 763,755,387.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.