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Finding the Third Proportional to 525,901.50 and 772,065

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Solution

The third proportional to 525,901.50 and 772,065 is: 1,133,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,901.50 : 772,065 = 772,065 : x
  2. Step 2: Convert to fraction form
    525,901.50/772,065 = 772,065/x
  3. Step 3: Cross multiply
    525,901.50x = 772,065 × 772,065
  4. Step 4: Simplify right side
    525,901.50x = 596,084,364,225
  5. Step 5: Solve for x
    x = 596,084,364,225/525,901.50
  6. Step 6: Final answer
    x = 1,133,452.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.