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Finding the Third Proportional to 265,473 and 577,602

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Solution

The third proportional to 265,473 and 577,602 is: 1,256,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,473 : 577,602 = 577,602 : x
  2. Step 2: Convert to fraction form
    265,473/577,602 = 577,602/x
  3. Step 3: Cross multiply
    265,473x = 577,602 × 577,602
  4. Step 4: Simplify right side
    265,473x = 333,624,070,404
  5. Step 5: Solve for x
    x = 333,624,070,404/265,473
  6. Step 6: Final answer
    x = 1,256,715.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.