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Finding the Third Proportional to 524,752 and 802,332

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Solution

The third proportional to 524,752 and 802,332 is: 1,226,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,752 : 802,332 = 802,332 : x
  2. Step 2: Convert to fraction form
    524,752/802,332 = 802,332/x
  3. Step 3: Cross multiply
    524,752x = 802,332 × 802,332
  4. Step 4: Simplify right side
    524,752x = 643,736,638,224
  5. Step 5: Solve for x
    x = 643,736,638,224/524,752
  6. Step 6: Final answer
    x = 1,226,744.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.