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Finding the Third Proportional to 357,226 and 492,095

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Solution

The third proportional to 357,226 and 492,095 is: 677,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,226 : 492,095 = 492,095 : x
  2. Step 2: Convert to fraction form
    357,226/492,095 = 492,095/x
  3. Step 3: Cross multiply
    357,226x = 492,095 × 492,095
  4. Step 4: Simplify right side
    357,226x = 242,157,489,025
  5. Step 5: Solve for x
    x = 242,157,489,025/357,226
  6. Step 6: Final answer
    x = 677,883.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.