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Finding the Third Proportional to 557,762 and 837,915

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Solution

The third proportional to 557,762 and 837,915 is: 1,258,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,762 : 837,915 = 837,915 : x
  2. Step 2: Convert to fraction form
    557,762/837,915 = 837,915/x
  3. Step 3: Cross multiply
    557,762x = 837,915 × 837,915
  4. Step 4: Simplify right side
    557,762x = 702,101,547,225
  5. Step 5: Solve for x
    x = 702,101,547,225/557,762
  6. Step 6: Final answer
    x = 1,258,783.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.