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Finding the Third Proportional to 276,973.50 and 596,319

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Solution

The third proportional to 276,973.50 and 596,319 is: 1,283,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,973.50 : 596,319 = 596,319 : x
  2. Step 2: Convert to fraction form
    276,973.50/596,319 = 596,319/x
  3. Step 3: Cross multiply
    276,973.50x = 596,319 × 596,319
  4. Step 4: Simplify right side
    276,973.50x = 355,596,349,761
  5. Step 5: Solve for x
    x = 355,596,349,761/276,973.50
  6. Step 6: Final answer
    x = 1,283,864.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.