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Finding the Third Proportional to 292,706,408 and 578,010,064

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Solution

The third proportional to 292,706,408 and 578,010,064 is: 1,141,401,844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,706,408 : 578,010,064 = 578,010,064 : x
  2. Step 2: Convert to fraction form
    292,706,408/578,010,064 = 578,010,064/x
  3. Step 3: Cross multiply
    292,706,408x = 578,010,064 × 578,010,064
  4. Step 4: Simplify right side
    292,706,408x = 334,095,634,085,284,096
  5. Step 5: Solve for x
    x = 334,095,634,085,284,096/292,706,408
  6. Step 6: Final answer
    x = 1,141,401,844.83

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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.