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Finding the Third Proportional to 320,553 and 507,588

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Solution

The third proportional to 320,553 and 507,588 is: 803,753.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,553 : 507,588 = 507,588 : x
  2. Step 2: Convert to fraction form
    320,553/507,588 = 507,588/x
  3. Step 3: Cross multiply
    320,553x = 507,588 × 507,588
  4. Step 4: Simplify right side
    320,553x = 257,645,577,744
  5. Step 5: Solve for x
    x = 257,645,577,744/320,553
  6. Step 6: Final answer
    x = 803,753.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.