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Finding the Third Proportional to 559,152 and 841,320

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Solution

The third proportional to 559,152 and 841,320 is: 1,265,880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,152 : 841,320 = 841,320 : x
  2. Step 2: Convert to fraction form
    559,152/841,320 = 841,320/x
  3. Step 3: Cross multiply
    559,152x = 841,320 × 841,320
  4. Step 4: Simplify right side
    559,152x = 707,819,342,400
  5. Step 5: Solve for x
    x = 707,819,342,400/559,152
  6. Step 6: Final answer
    x = 1,265,880.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.