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Finding the Third Proportional to 357,925 and 771,893

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Solution

The third proportional to 357,925 and 771,893 is: 1,664,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,925 : 771,893 = 771,893 : x
  2. Step 2: Convert to fraction form
    357,925/771,893 = 771,893/x
  3. Step 3: Cross multiply
    357,925x = 771,893 × 771,893
  4. Step 4: Simplify right side
    357,925x = 595,818,803,449
  5. Step 5: Solve for x
    x = 595,818,803,449/357,925
  6. Step 6: Final answer
    x = 1,664,647.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.