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Finding the Third Proportional to 549,507 and 871,780.50

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Solution

The third proportional to 549,507 and 871,780.50 is: 1,383,060.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,507 : 871,780.50 = 871,780.50 : x
  2. Step 2: Convert to fraction form
    549,507/871,780.50 = 871,780.50/x
  3. Step 3: Cross multiply
    549,507x = 871,780.50 × 871,780.50
  4. Step 4: Simplify right side
    549,507x = 760,001,240,180.25
  5. Step 5: Solve for x
    x = 760,001,240,180.25/549,507
  6. Step 6: Final answer
    x = 1,383,060.16

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