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Finding the Third Proportional to 525,480 and 832,212

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Solution

The third proportional to 525,480 and 832,212 is: 1,317,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,480 : 832,212 = 832,212 : x
  2. Step 2: Convert to fraction form
    525,480/832,212 = 832,212/x
  3. Step 3: Cross multiply
    525,480x = 832,212 × 832,212
  4. Step 4: Simplify right side
    525,480x = 692,576,812,944
  5. Step 5: Solve for x
    x = 692,576,812,944/525,480
  6. Step 6: Final answer
    x = 1,317,988.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.