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Finding the Third Proportional to 562,354 and 801,459

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Solution

The third proportional to 562,354 and 801,459 is: 1,142,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,354 : 801,459 = 801,459 : x
  2. Step 2: Convert to fraction form
    562,354/801,459 = 801,459/x
  3. Step 3: Cross multiply
    562,354x = 801,459 × 801,459
  4. Step 4: Simplify right side
    562,354x = 642,336,528,681
  5. Step 5: Solve for x
    x = 642,336,528,681/562,354
  6. Step 6: Final answer
    x = 1,142,228.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.