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Finding the Third Proportional to 590,341.50 and 933,309

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Solution

The third proportional to 590,341.50 and 933,309 is: 1,475,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,341.50 : 933,309 = 933,309 : x
  2. Step 2: Convert to fraction form
    590,341.50/933,309 = 933,309/x
  3. Step 3: Cross multiply
    590,341.50x = 933,309 × 933,309
  4. Step 4: Simplify right side
    590,341.50x = 871,065,689,481
  5. Step 5: Solve for x
    x = 871,065,689,481/590,341.50
  6. Step 6: Final answer
    x = 1,475,528.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.