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Finding the Third Proportional to 470,584 and 710,263.50

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Solution

The third proportional to 470,584 and 710,263.50 is: 1,072,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,584 : 710,263.50 = 710,263.50 : x
  2. Step 2: Convert to fraction form
    470,584/710,263.50 = 710,263.50/x
  3. Step 3: Cross multiply
    470,584x = 710,263.50 × 710,263.50
  4. Step 4: Simplify right side
    470,584x = 504,474,239,432.25
  5. Step 5: Solve for x
    x = 504,474,239,432.25/470,584
  6. Step 6: Final answer
    x = 1,072,017.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.