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Finding the Third Proportional to 535,590 and 734,409

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Solution

The third proportional to 535,590 and 734,409 is: 1,007,032.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,590 : 734,409 = 734,409 : x
  2. Step 2: Convert to fraction form
    535,590/734,409 = 734,409/x
  3. Step 3: Cross multiply
    535,590x = 734,409 × 734,409
  4. Step 4: Simplify right side
    535,590x = 539,356,579,281
  5. Step 5: Solve for x
    x = 539,356,579,281/535,590
  6. Step 6: Final answer
    x = 1,007,032.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.