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Finding the Third Proportional to 292,706,517 and 578,010,279

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Solution

The third proportional to 292,706,517 and 578,010,279 is: 1,141,402,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,706,517 : 578,010,279 = 578,010,279 : x
  2. Step 2: Convert to fraction form
    292,706,517/578,010,279 = 578,010,279/x
  3. Step 3: Cross multiply
    292,706,517x = 578,010,279 × 578,010,279
  4. Step 4: Simplify right side
    292,706,517x = 334,095,882,629,657,856
  5. Step 5: Solve for x
    x = 334,095,882,629,657,856/292,706,517
  6. Step 6: Final answer
    x = 1,141,402,268.91

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.