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Finding the Third Proportional to 357,041,858 and 540,951,921

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Solution

The third proportional to 357,041,858 and 540,951,921 is: 819,592,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,041,858 : 540,951,921 = 540,951,921 : x
  2. Step 2: Convert to fraction form
    357,041,858/540,951,921 = 540,951,921/x
  3. Step 3: Cross multiply
    357,041,858x = 540,951,921 × 540,951,921
  4. Step 4: Simplify right side
    357,041,858x = 292,628,980,833,590,272
  5. Step 5: Solve for x
    x = 292,628,980,833,590,272/357,041,858
  6. Step 6: Final answer
    x = 819,592,925.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.