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Finding the Third Proportional to 557,829 and 886,477.50

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Solution

The third proportional to 557,829 and 886,477.50 is: 1,408,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,829 : 886,477.50 = 886,477.50 : x
  2. Step 2: Convert to fraction form
    557,829/886,477.50 = 886,477.50/x
  3. Step 3: Cross multiply
    557,829x = 886,477.50 × 886,477.50
  4. Step 4: Simplify right side
    557,829x = 785,842,358,006.25
  5. Step 5: Solve for x
    x = 785,842,358,006.25/557,829
  6. Step 6: Final answer
    x = 1,408,751.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.