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Finding the Third Proportional to 508,276 and 745,434

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Solution

The third proportional to 508,276 and 745,434 is: 1,093,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,276 : 745,434 = 745,434 : x
  2. Step 2: Convert to fraction form
    508,276/745,434 = 745,434/x
  3. Step 3: Cross multiply
    508,276x = 745,434 × 745,434
  4. Step 4: Simplify right side
    508,276x = 555,671,848,356
  5. Step 5: Solve for x
    x = 555,671,848,356/508,276
  6. Step 6: Final answer
    x = 1,093,248.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.