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Finding the Third Proportional to 265,537 and 573,332

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Solution

The third proportional to 265,537 and 573,332 is: 1,237,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,537 : 573,332 = 573,332 : x
  2. Step 2: Convert to fraction form
    265,537/573,332 = 573,332/x
  3. Step 3: Cross multiply
    265,537x = 573,332 × 573,332
  4. Step 4: Simplify right side
    265,537x = 328,709,582,224
  5. Step 5: Solve for x
    x = 328,709,582,224/265,537
  6. Step 6: Final answer
    x = 1,237,905.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.