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Finding the Third Proportional to 550,623 and 851,038.50

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Solution

The third proportional to 550,623 and 851,038.50 is: 1,315,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,623 : 851,038.50 = 851,038.50 : x
  2. Step 2: Convert to fraction form
    550,623/851,038.50 = 851,038.50/x
  3. Step 3: Cross multiply
    550,623x = 851,038.50 × 851,038.50
  4. Step 4: Simplify right side
    550,623x = 724,266,528,482.25
  5. Step 5: Solve for x
    x = 724,266,528,482.25/550,623
  6. Step 6: Final answer
    x = 1,315,358.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.