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Finding the Third Proportional to 357,808 and 526,344

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Solution

The third proportional to 357,808 and 526,344 is: 774,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,808 : 526,344 = 526,344 : x
  2. Step 2: Convert to fraction form
    357,808/526,344 = 526,344/x
  3. Step 3: Cross multiply
    357,808x = 526,344 × 526,344
  4. Step 4: Simplify right side
    357,808x = 277,038,006,336
  5. Step 5: Solve for x
    x = 277,038,006,336/357,808
  6. Step 6: Final answer
    x = 774,264.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.