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Finding the Third Proportional to 571,152 and 802,292

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Solution

The third proportional to 571,152 and 802,292 is: 1,126,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,152 : 802,292 = 802,292 : x
  2. Step 2: Convert to fraction form
    571,152/802,292 = 802,292/x
  3. Step 3: Cross multiply
    571,152x = 802,292 × 802,292
  4. Step 4: Simplify right side
    571,152x = 643,672,453,264
  5. Step 5: Solve for x
    x = 643,672,453,264/571,152
  6. Step 6: Final answer
    x = 1,126,972.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.