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Finding the Third Proportional to 525,388 and 832,066

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Solution

The third proportional to 525,388 and 832,066 is: 1,317,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,388 : 832,066 = 832,066 : x
  2. Step 2: Convert to fraction form
    525,388/832,066 = 832,066/x
  3. Step 3: Cross multiply
    525,388x = 832,066 × 832,066
  4. Step 4: Simplify right side
    525,388x = 692,333,828,356
  5. Step 5: Solve for x
    x = 692,333,828,356/525,388
  6. Step 6: Final answer
    x = 1,317,757.22

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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.