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Finding the Third Proportional to 526,387.50 and 786,073.50

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Solution

The third proportional to 526,387.50 and 786,073.50 is: 1,173,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,387.50 : 786,073.50 = 786,073.50 : x
  2. Step 2: Convert to fraction form
    526,387.50/786,073.50 = 786,073.50/x
  3. Step 3: Cross multiply
    526,387.50x = 786,073.50 × 786,073.50
  4. Step 4: Simplify right side
    526,387.50x = 617,911,547,402.25
  5. Step 5: Solve for x
    x = 617,911,547,402.25/526,387.50
  6. Step 6: Final answer
    x = 1,173,872.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.