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Finding the Third Proportional to 292,213,602 and 438,704,775

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Solution

The third proportional to 292,213,602 and 438,704,775 is: 658,634,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,213,602 : 438,704,775 = 438,704,775 : x
  2. Step 2: Convert to fraction form
    292,213,602/438,704,775 = 438,704,775/x
  3. Step 3: Cross multiply
    292,213,602x = 438,704,775 × 438,704,775
  4. Step 4: Simplify right side
    292,213,602x = 192,461,879,607,800,640
  5. Step 5: Solve for x
    x = 192,461,879,607,800,640/292,213,602
  6. Step 6: Final answer
    x = 658,634,226.10

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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.