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Finding the Third Proportional to 502,590 and 777,225

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Solution

The third proportional to 502,590 and 777,225 is: 1,201,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,590 : 777,225 = 777,225 : x
  2. Step 2: Convert to fraction form
    502,590/777,225 = 777,225/x
  3. Step 3: Cross multiply
    502,590x = 777,225 × 777,225
  4. Step 4: Simplify right side
    502,590x = 604,078,700,625
  5. Step 5: Solve for x
    x = 604,078,700,625/502,590
  6. Step 6: Final answer
    x = 1,201,931.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.