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Finding the Third Proportional to 516,564 and 692,833.50

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Solution

The third proportional to 516,564 and 692,833.50 is: 929,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,564 : 692,833.50 = 692,833.50 : x
  2. Step 2: Convert to fraction form
    516,564/692,833.50 = 692,833.50/x
  3. Step 3: Cross multiply
    516,564x = 692,833.50 × 692,833.50
  4. Step 4: Simplify right side
    516,564x = 480,018,258,722.25
  5. Step 5: Solve for x
    x = 480,018,258,722.25/516,564
  6. Step 6: Final answer
    x = 929,252.25

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.