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Finding the Third Proportional to 360,090 and 525,332

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Solution

The third proportional to 360,090 and 525,332 is: 766,402.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,090 : 525,332 = 525,332 : x
  2. Step 2: Convert to fraction form
    360,090/525,332 = 525,332/x
  3. Step 3: Cross multiply
    360,090x = 525,332 × 525,332
  4. Step 4: Simplify right side
    360,090x = 275,973,710,224
  5. Step 5: Solve for x
    x = 275,973,710,224/360,090
  6. Step 6: Final answer
    x = 766,402.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.