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Finding the Third Proportional to 525,312 and 803,216.25

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Solution

The third proportional to 525,312 and 803,216.25 is: 1,228,139.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,312 : 803,216.25 = 803,216.25 : x
  2. Step 2: Convert to fraction form
    525,312/803,216.25 = 803,216.25/x
  3. Step 3: Cross multiply
    525,312x = 803,216.25 × 803,216.25
  4. Step 4: Simplify right side
    525,312x = 645,156,344,264.06
  5. Step 5: Solve for x
    x = 645,156,344,264.06/525,312
  6. Step 6: Final answer
    x = 1,228,139.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.