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Finding the Third Proportional to 253,566.07 and 535,426.45

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Solution

The third proportional to 253,566.07 and 535,426.45 is: 1,130,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,566.07 : 535,426.45 = 535,426.45 : x
  2. Step 2: Convert to fraction form
    253,566.07/535,426.45 = 535,426.45/x
  3. Step 3: Cross multiply
    253,566.07x = 535,426.45 × 535,426.45
  4. Step 4: Simplify right side
    253,566.07x = 286,681,486,706.02
  5. Step 5: Solve for x
    x = 286,681,486,706.02/253,566.07
  6. Step 6: Final answer
    x = 1,130,598.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.