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Finding the Third Proportional to 236,810 and 507,316

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Solution

The third proportional to 236,810 and 507,316 is: 1,086,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,810 : 507,316 = 507,316 : x
  2. Step 2: Convert to fraction form
    236,810/507,316 = 507,316/x
  3. Step 3: Cross multiply
    236,810x = 507,316 × 507,316
  4. Step 4: Simplify right side
    236,810x = 257,369,523,856
  5. Step 5: Solve for x
    x = 257,369,523,856/236,810
  6. Step 6: Final answer
    x = 1,086,818.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.