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Finding the Third Proportional to 506,457 and 772,548

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Solution

The third proportional to 506,457 and 772,548 is: 1,178,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,457 : 772,548 = 772,548 : x
  2. Step 2: Convert to fraction form
    506,457/772,548 = 772,548/x
  3. Step 3: Cross multiply
    506,457x = 772,548 × 772,548
  4. Step 4: Simplify right side
    506,457x = 596,830,412,304
  5. Step 5: Solve for x
    x = 596,830,412,304/506,457
  6. Step 6: Final answer
    x = 1,178,442.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.