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Finding the Third Proportional to 461,025 and 711,985.50

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Solution

The third proportional to 461,025 and 711,985.50 is: 1,099,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,025 : 711,985.50 = 711,985.50 : x
  2. Step 2: Convert to fraction form
    461,025/711,985.50 = 711,985.50/x
  3. Step 3: Cross multiply
    461,025x = 711,985.50 × 711,985.50
  4. Step 4: Simplify right side
    461,025x = 506,923,352,210.25
  5. Step 5: Solve for x
    x = 506,923,352,210.25/461,025
  6. Step 6: Final answer
    x = 1,099,557.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.