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Finding the Third Proportional to 292,294 and 637,485.50

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Solution

The third proportional to 292,294 and 637,485.50 is: 1,390,339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,294 : 637,485.50 = 637,485.50 : x
  2. Step 2: Convert to fraction form
    292,294/637,485.50 = 637,485.50/x
  3. Step 3: Cross multiply
    292,294x = 637,485.50 × 637,485.50
  4. Step 4: Simplify right side
    292,294x = 406,387,762,710.25
  5. Step 5: Solve for x
    x = 406,387,762,710.25/292,294
  6. Step 6: Final answer
    x = 1,390,339.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.