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Finding the Third Proportional to 292,089,590 and 417,660,983

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Solution

The third proportional to 292,089,590 and 417,660,983 is: 597,216,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,089,590 : 417,660,983 = 417,660,983 : x
  2. Step 2: Convert to fraction form
    292,089,590/417,660,983 = 417,660,983/x
  3. Step 3: Cross multiply
    292,089,590x = 417,660,983 × 417,660,983
  4. Step 4: Simplify right side
    292,089,590x = 174,440,696,720,526,304
  5. Step 5: Solve for x
    x = 174,440,696,720,526,304/292,089,590
  6. Step 6: Final answer
    x = 597,216,411.31

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