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Finding the Third Proportional to 245,063 and 374,804

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Solution

The third proportional to 245,063 and 374,804 is: 573,232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,063 : 374,804 = 374,804 : x
  2. Step 2: Convert to fraction form
    245,063/374,804 = 374,804/x
  3. Step 3: Cross multiply
    245,063x = 374,804 × 374,804
  4. Step 4: Simplify right side
    245,063x = 140,478,038,416
  5. Step 5: Solve for x
    x = 140,478,038,416/245,063
  6. Step 6: Final answer
    x = 573,232.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.