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Finding the Third Proportional to 382,590 and 832,248

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Solution

The third proportional to 382,590 and 832,248 is: 1,810,389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,590 : 832,248 = 832,248 : x
  2. Step 2: Convert to fraction form
    382,590/832,248 = 832,248/x
  3. Step 3: Cross multiply
    382,590x = 832,248 × 832,248
  4. Step 4: Simplify right side
    382,590x = 692,636,733,504
  5. Step 5: Solve for x
    x = 692,636,733,504/382,590
  6. Step 6: Final answer
    x = 1,810,389.02

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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.