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Finding the Third Proportional to 506,358 and 1,080,513

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Solution

The third proportional to 506,358 and 1,080,513 is: 2,305,697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,358 : 1,080,513 = 1,080,513 : x
  2. Step 2: Convert to fraction form
    506,358/1,080,513 = 1,080,513/x
  3. Step 3: Cross multiply
    506,358x = 1,080,513 × 1,080,513
  4. Step 4: Simplify right side
    506,358x = 1,167,508,343,169
  5. Step 5: Solve for x
    x = 1,167,508,343,169/506,358
  6. Step 6: Final answer
    x = 2,305,697.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.