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Finding the Third Proportional to 363,042 and 507,789

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Solution

The third proportional to 363,042 and 507,789 is: 710,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,042 : 507,789 = 507,789 : x
  2. Step 2: Convert to fraction form
    363,042/507,789 = 507,789/x
  3. Step 3: Cross multiply
    363,042x = 507,789 × 507,789
  4. Step 4: Simplify right side
    363,042x = 257,849,668,521
  5. Step 5: Solve for x
    x = 257,849,668,521/363,042
  6. Step 6: Final answer
    x = 710,247.49

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