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Finding the Third Proportional to 537,423 and 803,326.50

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Solution

The third proportional to 537,423 and 803,326.50 is: 1,200,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,423 : 803,326.50 = 803,326.50 : x
  2. Step 2: Convert to fraction form
    537,423/803,326.50 = 803,326.50/x
  3. Step 3: Cross multiply
    537,423x = 803,326.50 × 803,326.50
  4. Step 4: Simplify right side
    537,423x = 645,333,465,602.25
  5. Step 5: Solve for x
    x = 645,333,465,602.25/537,423
  6. Step 6: Final answer
    x = 1,200,792.42

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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.