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Finding the Third Proportional to 255,328,254 and 404,368,146

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Solution

The third proportional to 255,328,254 and 404,368,146 is: 640,405,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,328,254 : 404,368,146 = 404,368,146 : x
  2. Step 2: Convert to fraction form
    255,328,254/404,368,146 = 404,368,146/x
  3. Step 3: Cross multiply
    255,328,254x = 404,368,146 × 404,368,146
  4. Step 4: Simplify right side
    255,328,254x = 163,513,597,499,477,312
  5. Step 5: Solve for x
    x = 163,513,597,499,477,312/255,328,254
  6. Step 6: Final answer
    x = 640,405,419.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.