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Finding the Third Proportional to 364,585 and 570,624

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Solution

The third proportional to 364,585 and 570,624 is: 893,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,585 : 570,624 = 570,624 : x
  2. Step 2: Convert to fraction form
    364,585/570,624 = 570,624/x
  3. Step 3: Cross multiply
    364,585x = 570,624 × 570,624
  4. Step 4: Simplify right side
    364,585x = 325,611,749,376
  5. Step 5: Solve for x
    x = 325,611,749,376/364,585
  6. Step 6: Final answer
    x = 893,102.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.