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Finding the Third Proportional to 292,089,594 and 417,660,989

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Solution

The third proportional to 292,089,594 and 417,660,989 is: 597,216,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,089,594 : 417,660,989 = 417,660,989 : x
  2. Step 2: Convert to fraction form
    292,089,594/417,660,989 = 417,660,989/x
  3. Step 3: Cross multiply
    292,089,594x = 417,660,989 × 417,660,989
  4. Step 4: Simplify right side
    292,089,594x = 174,440,701,732,458,112
  5. Step 5: Solve for x
    x = 174,440,701,732,458,112/292,089,594
  6. Step 6: Final answer
    x = 597,216,420.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.