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Finding the Third Proportional to 357,078 and 473,894

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Solution

The third proportional to 357,078 and 473,894 is: 628,925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,078 : 473,894 = 473,894 : x
  2. Step 2: Convert to fraction form
    357,078/473,894 = 473,894/x
  3. Step 3: Cross multiply
    357,078x = 473,894 × 473,894
  4. Step 4: Simplify right side
    357,078x = 224,575,523,236
  5. Step 5: Solve for x
    x = 224,575,523,236/357,078
  6. Step 6: Final answer
    x = 628,925.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.