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Finding the Third Proportional to 475,056 and 713,202

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Solution

The third proportional to 475,056 and 713,202 is: 1,070,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,056 : 713,202 = 713,202 : x
  2. Step 2: Convert to fraction form
    475,056/713,202 = 713,202/x
  3. Step 3: Cross multiply
    475,056x = 713,202 × 713,202
  4. Step 4: Simplify right side
    475,056x = 508,657,092,804
  5. Step 5: Solve for x
    x = 508,657,092,804/475,056
  6. Step 6: Final answer
    x = 1,070,730.80

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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.