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Finding the Third Proportional to 358,700 and 549,349.50

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Solution

The third proportional to 358,700 and 549,349.50 is: 841,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,700 : 549,349.50 = 549,349.50 : x
  2. Step 2: Convert to fraction form
    358,700/549,349.50 = 549,349.50/x
  3. Step 3: Cross multiply
    358,700x = 549,349.50 × 549,349.50
  4. Step 4: Simplify right side
    358,700x = 301,784,873,150.25
  5. Step 5: Solve for x
    x = 301,784,873,150.25/358,700
  6. Step 6: Final answer
    x = 841,329.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.