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Finding the Third Proportional to 363,052 and 507,804

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Solution

The third proportional to 363,052 and 507,804 is: 710,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,052 : 507,804 = 507,804 : x
  2. Step 2: Convert to fraction form
    363,052/507,804 = 507,804/x
  3. Step 3: Cross multiply
    363,052x = 507,804 × 507,804
  4. Step 4: Simplify right side
    363,052x = 257,864,902,416
  5. Step 5: Solve for x
    x = 257,864,902,416/363,052
  6. Step 6: Final answer
    x = 710,269.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.