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Finding the Third Proportional to 320,552 and 507,586

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Solution

The third proportional to 320,552 and 507,586 is: 803,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,552 : 507,586 = 507,586 : x
  2. Step 2: Convert to fraction form
    320,552/507,586 = 507,586/x
  3. Step 3: Cross multiply
    320,552x = 507,586 × 507,586
  4. Step 4: Simplify right side
    320,552x = 257,643,547,396
  5. Step 5: Solve for x
    x = 257,643,547,396/320,552
  6. Step 6: Final answer
    x = 803,749.62

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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.