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Finding the Third Proportional to 583,378 and 875,076

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Solution

The third proportional to 583,378 and 875,076 is: 1,312,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,378 : 875,076 = 875,076 : x
  2. Step 2: Convert to fraction form
    583,378/875,076 = 875,076/x
  3. Step 3: Cross multiply
    583,378x = 875,076 × 875,076
  4. Step 4: Simplify right side
    583,378x = 765,758,005,776
  5. Step 5: Solve for x
    x = 765,758,005,776/583,378
  6. Step 6: Final answer
    x = 1,312,627.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.